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Finding the Third Proportional to 57,832,931 and 77,101,971

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Solution

The third proportional to 57,832,931 and 77,101,971 is: 102,791,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,931 : 77,101,971 = 77,101,971 : x
  2. Step 2: Convert to fraction form
    57,832,931/77,101,971 = 77,101,971/x
  3. Step 3: Cross multiply
    57,832,931x = 77,101,971 × 77,101,971
  4. Step 4: Simplify right side
    57,832,931x = 5,944,713,932,084,841
  5. Step 5: Solve for x
    x = 5,944,713,932,084,841/57,832,931
  6. Step 6: Final answer
    x = 102,791,157.72

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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.