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Finding the Third Proportional to 32,548,414.78 and 69,626,896.31

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Solution

The third proportional to 32,548,414.78 and 69,626,896.31 is: 148,944,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548,414.78 : 69,626,896.31 = 69,626,896.31 : x
  2. Step 2: Convert to fraction form
    32,548,414.78/69,626,896.31 = 69,626,896.31/x
  3. Step 3: Cross multiply
    32,548,414.78x = 69,626,896.31 × 69,626,896.31
  4. Step 4: Simplify right side
    32,548,414.78x = 4,847,904,690,111,626
  5. Step 5: Solve for x
    x = 4,847,904,690,111,626/32,548,414.78
  6. Step 6: Final answer
    x = 148,944,417.81

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