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Finding the Third Proportional to 32,614,170.75 and 69,896,958

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Solution

The third proportional to 32,614,170.75 and 69,896,958 is: 149,799,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614,170.75 : 69,896,958 = 69,896,958 : x
  2. Step 2: Convert to fraction form
    32,614,170.75/69,896,958 = 69,896,958/x
  3. Step 3: Cross multiply
    32,614,170.75x = 69,896,958 × 69,896,958
  4. Step 4: Simplify right side
    32,614,170.75x = 4,885,584,737,653,764
  5. Step 5: Solve for x
    x = 4,885,584,737,653,764/32,614,170.75
  6. Step 6: Final answer
    x = 149,799,446.84

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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.