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Finding the Third Proportional to 42,252,874 and 92,575,775

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Solution

The third proportional to 42,252,874 and 92,575,775 is: 202,832,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252,874 : 92,575,775 = 92,575,775 : x
  2. Step 2: Convert to fraction form
    42,252,874/92,575,775 = 92,575,775/x
  3. Step 3: Cross multiply
    42,252,874x = 92,575,775 × 92,575,775
  4. Step 4: Simplify right side
    42,252,874x = 8,570,274,116,850,625
  5. Step 5: Solve for x
    x = 8,570,274,116,850,625/42,252,874
  6. Step 6: Final answer
    x = 202,832,927.22

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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.