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Finding the Third Proportional to 32,281,569 and 69,662,814

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Solution

The third proportional to 32,281,569 and 69,662,814 is: 150,330,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281,569 : 69,662,814 = 69,662,814 : x
  2. Step 2: Convert to fraction form
    32,281,569/69,662,814 = 69,662,814/x
  3. Step 3: Cross multiply
    32,281,569x = 69,662,814 × 69,662,814
  4. Step 4: Simplify right side
    32,281,569x = 4,852,907,654,398,596
  5. Step 5: Solve for x
    x = 4,852,907,654,398,596/32,281,569
  6. Step 6: Final answer
    x = 150,330,600.55

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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.