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Finding the Third Proportional to 32,614,165 and 69,896,952

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Solution

The third proportional to 32,614,165 and 69,896,952 is: 149,799,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614,165 : 69,896,952 = 69,896,952 : x
  2. Step 2: Convert to fraction form
    32,614,165/69,896,952 = 69,896,952/x
  3. Step 3: Cross multiply
    32,614,165x = 69,896,952 × 69,896,952
  4. Step 4: Simplify right side
    32,614,165x = 4,885,583,898,890,304
  5. Step 5: Solve for x
    x = 4,885,583,898,890,304/32,614,165
  6. Step 6: Final answer
    x = 149,799,447.54

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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.