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Finding the Third Proportional to 31,195,527 and 67,323,486

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Solution

The third proportional to 31,195,527 and 67,323,486 is: 145,291,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,527 : 67,323,486 = 67,323,486 : x
  2. Step 2: Convert to fraction form
    31,195,527/67,323,486 = 67,323,486/x
  3. Step 3: Cross multiply
    31,195,527x = 67,323,486 × 67,323,486
  4. Step 4: Simplify right side
    31,195,527x = 4,532,451,767,192,196
  5. Step 5: Solve for x
    x = 4,532,451,767,192,196/31,195,527
  6. Step 6: Final answer
    x = 145,291,719.78

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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.