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Finding the Third Proportional to 57,832,924 and 77,101,961

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Solution

The third proportional to 57,832,924 and 77,101,961 is: 102,791,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,924 : 77,101,961 = 77,101,961 : x
  2. Step 2: Convert to fraction form
    57,832,924/77,101,961 = 77,101,961/x
  3. Step 3: Cross multiply
    57,832,924x = 77,101,961 × 77,101,961
  4. Step 4: Simplify right side
    57,832,924x = 5,944,712,390,045,521
  5. Step 5: Solve for x
    x = 5,944,712,390,045,521/57,832,924
  6. Step 6: Final answer
    x = 102,791,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.