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Finding the Third Proportional to 31,434,534 and 68,712,725

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Solution

The third proportional to 31,434,534 and 68,712,725 is: 150,199,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434,534 : 68,712,725 = 68,712,725 : x
  2. Step 2: Convert to fraction form
    31,434,534/68,712,725 = 68,712,725/x
  3. Step 3: Cross multiply
    31,434,534x = 68,712,725 × 68,712,725
  4. Step 4: Simplify right side
    31,434,534x = 4,721,438,576,925,625
  5. Step 5: Solve for x
    x = 4,721,438,576,925,625/31,434,534
  6. Step 6: Final answer
    x = 150,199,095.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.