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Finding the Third Proportional to 42,405,734 and 92,320,464

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Solution

The third proportional to 42,405,734 and 92,320,464 is: 200,988,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405,734 : 92,320,464 = 92,320,464 : x
  2. Step 2: Convert to fraction form
    42,405,734/92,320,464 = 92,320,464/x
  3. Step 3: Cross multiply
    42,405,734x = 92,320,464 × 92,320,464
  4. Step 4: Simplify right side
    42,405,734x = 8,523,068,073,175,296
  5. Step 5: Solve for x
    x = 8,523,068,073,175,296/42,405,734
  6. Step 6: Final answer
    x = 200,988,575.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.