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Finding the Third Proportional to 32,548,418 and 69,626,902.50

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Solution

The third proportional to 32,548,418 and 69,626,902.50 is: 148,944,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548,418 : 69,626,902.50 = 69,626,902.50 : x
  2. Step 2: Convert to fraction form
    32,548,418/69,626,902.50 = 69,626,902.50/x
  3. Step 3: Cross multiply
    32,548,418x = 69,626,902.50 × 69,626,902.50
  4. Step 4: Simplify right side
    32,548,418x = 4,847,905,551,744,506
  5. Step 5: Solve for x
    x = 4,847,905,551,744,506/32,548,418
  6. Step 6: Final answer
    x = 148,944,429.55

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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.