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Finding the Third Proportional to 9,718,969 and 20,996,581

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Solution

The third proportional to 9,718,969 and 20,996,581 is: 45,360,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,969 : 20,996,581 = 20,996,581 : x
  2. Step 2: Convert to fraction form
    9,718,969/20,996,581 = 20,996,581/x
  3. Step 3: Cross multiply
    9,718,969x = 20,996,581 × 20,996,581
  4. Step 4: Simplify right side
    9,718,969x = 440,856,413,689,561
  5. Step 5: Solve for x
    x = 440,856,413,689,561/9,718,969
  6. Step 6: Final answer
    x = 45,360,409.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.