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Finding the Third Proportional to 32,002,496 and 69,008,992

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Solution

The third proportional to 32,002,496 and 69,008,992 is: 148,808,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002,496 : 69,008,992 = 69,008,992 : x
  2. Step 2: Convert to fraction form
    32,002,496/69,008,992 = 69,008,992/x
  3. Step 3: Cross multiply
    32,002,496x = 69,008,992 × 69,008,992
  4. Step 4: Simplify right side
    32,002,496x = 4,762,240,976,856,064
  5. Step 5: Solve for x
    x = 4,762,240,976,856,064/32,002,496
  6. Step 6: Final answer
    x = 148,808,423.47

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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.