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Finding the Third Proportional to 31,733,196 and 68,748,459

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Solution

The third proportional to 31,733,196 and 68,748,459 is: 148,940,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733,196 : 68,748,459 = 68,748,459 : x
  2. Step 2: Convert to fraction form
    31,733,196/68,748,459 = 68,748,459/x
  3. Step 3: Cross multiply
    31,733,196x = 68,748,459 × 68,748,459
  4. Step 4: Simplify right side
    31,733,196x = 4,726,350,614,874,681
  5. Step 5: Solve for x
    x = 4,726,350,614,874,681/31,733,196
  6. Step 6: Final answer
    x = 148,940,264.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.