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Finding the Third Proportional to 32,691,987 and 69,368,934

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Solution

The third proportional to 32,691,987 and 69,368,934 is: 147,193,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,987 : 69,368,934 = 69,368,934 : x
  2. Step 2: Convert to fraction form
    32,691,987/69,368,934 = 69,368,934/x
  3. Step 3: Cross multiply
    32,691,987x = 69,368,934 × 69,368,934
  4. Step 4: Simplify right side
    32,691,987x = 4,812,049,004,296,356
  5. Step 5: Solve for x
    x = 4,812,049,004,296,356/32,691,987
  6. Step 6: Final answer
    x = 147,193,531.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.