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Finding the Third Proportional to 6,827,461 and 14,666,990

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Solution

The third proportional to 6,827,461 and 14,666,990 is: 31,508,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,461 : 14,666,990 = 14,666,990 : x
  2. Step 2: Convert to fraction form
    6,827,461/14,666,990 = 14,666,990/x
  3. Step 3: Cross multiply
    6,827,461x = 14,666,990 × 14,666,990
  4. Step 4: Simplify right side
    6,827,461x = 215,120,595,660,100
  5. Step 5: Solve for x
    x = 215,120,595,660,100/6,827,461
  6. Step 6: Final answer
    x = 31,508,139.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.