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Finding the Third Proportional to 32,614,167 and 69,896,951.25

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Solution

The third proportional to 32,614,167 and 69,896,951.25 is: 149,799,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614,167 : 69,896,951.25 = 69,896,951.25 : x
  2. Step 2: Convert to fraction form
    32,614,167/69,896,951.25 = 69,896,951.25/x
  3. Step 3: Cross multiply
    32,614,167x = 69,896,951.25 × 69,896,951.25
  4. Step 4: Simplify right side
    32,614,167x = 4,885,583,794,044,877
  5. Step 5: Solve for x
    x = 4,885,583,794,044,877/32,614,167
  6. Step 6: Final answer
    x = 149,799,435.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.