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Finding the Third Proportional to 2,611,868,201,216.20 and 5,682,302,499,296.80

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Solution

The third proportional to 2,611,868,201,216.20 and 5,682,302,499,296.80 is: 12,362,247,711,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611,868,201,216.20 : 5,682,302,499,296.80 = 5,682,302,499,296.80 : x
  2. Step 2: Convert to fraction form
    2,611,868,201,216.20/5,682,302,499,296.80 = 5,682,302,499,296.80/x
  3. Step 3: Cross multiply
    2,611,868,201,216.20x = 5,682,302,499,296.80 × 5,682,302,499,296.80
  4. Step 4: Simplify right side
    2,611,868,201,216.20x = 32,288,561,693,514,655,403,606,016
  5. Step 5: Solve for x
    x = 32,288,561,693,514,655,403,606,016/2,611,868,201,216.20
  6. Step 6: Final answer
    x = 12,362,247,711,611.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.