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Finding the Third Proportional to 30,877,698 and 45,418,419

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Solution

The third proportional to 30,877,698 and 45,418,419 is: 66,806,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877,698 : 45,418,419 = 45,418,419 : x
  2. Step 2: Convert to fraction form
    30,877,698/45,418,419 = 45,418,419/x
  3. Step 3: Cross multiply
    30,877,698x = 45,418,419 × 45,418,419
  4. Step 4: Simplify right side
    30,877,698x = 2,062,832,784,459,561
  5. Step 5: Solve for x
    x = 2,062,832,784,459,561/30,877,698
  6. Step 6: Final answer
    x = 66,806,560.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.