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Finding the Third Proportional to 42,252,872 and 92,575,771

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Solution

The third proportional to 42,252,872 and 92,575,771 is: 202,832,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252,872 : 92,575,771 = 92,575,771 : x
  2. Step 2: Convert to fraction form
    42,252,872/92,575,771 = 92,575,771/x
  3. Step 3: Cross multiply
    42,252,872x = 92,575,771 × 92,575,771
  4. Step 4: Simplify right side
    42,252,872x = 8,570,273,376,244,441
  5. Step 5: Solve for x
    x = 8,570,273,376,244,441/42,252,872
  6. Step 6: Final answer
    x = 202,832,919.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.