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Finding the Third Proportional to 57,832,952 and 77,102,002

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Solution

The third proportional to 57,832,952 and 77,102,002 is: 102,791,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,952 : 77,102,002 = 77,102,002 : x
  2. Step 2: Convert to fraction form
    57,832,952/77,102,002 = 77,102,002/x
  3. Step 3: Cross multiply
    57,832,952x = 77,102,002 × 77,102,002
  4. Step 4: Simplify right side
    57,832,952x = 5,944,718,712,408,004
  5. Step 5: Solve for x
    x = 5,944,718,712,408,004/57,832,952
  6. Step 6: Final answer
    x = 102,791,203.06

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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.