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Finding the Third Proportional to 32,099,832 and 69,435,360

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Solution

The third proportional to 32,099,832 and 69,435,360 is: 150,196,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099,832 : 69,435,360 = 69,435,360 : x
  2. Step 2: Convert to fraction form
    32,099,832/69,435,360 = 69,435,360/x
  3. Step 3: Cross multiply
    32,099,832x = 69,435,360 × 69,435,360
  4. Step 4: Simplify right side
    32,099,832x = 4,821,269,218,329,600
  5. Step 5: Solve for x
    x = 4,821,269,218,329,600/32,099,832
  6. Step 6: Final answer
    x = 150,196,088.82

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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.