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Finding the Third Proportional to 2,782,713,268 and 6,065,427,008

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Solution

The third proportional to 2,782,713,268 and 6,065,427,008 is: 13,220,695,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,713,268 : 6,065,427,008 = 6,065,427,008 : x
  2. Step 2: Convert to fraction form
    2,782,713,268/6,065,427,008 = 6,065,427,008/x
  3. Step 3: Cross multiply
    2,782,713,268x = 6,065,427,008 × 6,065,427,008
  4. Step 4: Simplify right side
    2,782,713,268x = 36,789,404,789,375,832,064
  5. Step 5: Solve for x
    x = 36,789,404,789,375,832,064/2,782,713,268
  6. Step 6: Final answer
    x = 13,220,695,503.36

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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.