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Finding the Third Proportional to 32,253,408 and 69,641,600

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Solution

The third proportional to 32,253,408 and 69,641,600 is: 150,370,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253,408 : 69,641,600 = 69,641,600 : x
  2. Step 2: Convert to fraction form
    32,253,408/69,641,600 = 69,641,600/x
  3. Step 3: Cross multiply
    32,253,408x = 69,641,600 × 69,641,600
  4. Step 4: Simplify right side
    32,253,408x = 4,849,952,450,560,000
  5. Step 5: Solve for x
    x = 4,849,952,450,560,000/32,253,408
  6. Step 6: Final answer
    x = 150,370,232.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.