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Finding the Third Proportional to 9,909,070 and 21,766,747

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Solution

The third proportional to 9,909,070 and 21,766,747 is: 47,813,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,070 : 21,766,747 = 21,766,747 : x
  2. Step 2: Convert to fraction form
    9,909,070/21,766,747 = 21,766,747/x
  3. Step 3: Cross multiply
    9,909,070x = 21,766,747 × 21,766,747
  4. Step 4: Simplify right side
    9,909,070x = 473,791,274,962,009
  5. Step 5: Solve for x
    x = 473,791,274,962,009/9,909,070
  6. Step 6: Final answer
    x = 47,813,899.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.