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Finding the Third Proportional to 14,779,464 and 31,743,591

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Solution

The third proportional to 14,779,464 and 31,743,591 is: 68,179,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,779,464 : 31,743,591 = 31,743,591 : x
  2. Step 2: Convert to fraction form
    14,779,464/31,743,591 = 31,743,591/x
  3. Step 3: Cross multiply
    14,779,464x = 31,743,591 × 31,743,591
  4. Step 4: Simplify right side
    14,779,464x = 1,007,655,569,575,281
  5. Step 5: Solve for x
    x = 1,007,655,569,575,281/14,779,464
  6. Step 6: Final answer
    x = 68,179,439.36

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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.