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Finding the Third Proportional to 32,099,884 and 69,435,464

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Solution

The third proportional to 32,099,884 and 69,435,464 is: 150,196,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099,884 : 69,435,464 = 69,435,464 : x
  2. Step 2: Convert to fraction form
    32,099,884/69,435,464 = 69,435,464/x
  3. Step 3: Cross multiply
    32,099,884x = 69,435,464 × 69,435,464
  4. Step 4: Simplify right side
    32,099,884x = 4,821,283,660,895,296
  5. Step 5: Solve for x
    x = 4,821,283,660,895,296/32,099,884
  6. Step 6: Final answer
    x = 150,196,295.44

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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.