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Finding the Third Proportional to 34,864,961 and 76,007,577

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Solution

The third proportional to 34,864,961 and 76,007,577 is: 165,700,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864,961 : 76,007,577 = 76,007,577 : x
  2. Step 2: Convert to fraction form
    34,864,961/76,007,577 = 76,007,577/x
  3. Step 3: Cross multiply
    34,864,961x = 76,007,577 × 76,007,577
  4. Step 4: Simplify right side
    34,864,961x = 5,777,151,761,410,929
  5. Step 5: Solve for x
    x = 5,777,151,761,410,929/34,864,961
  6. Step 6: Final answer
    x = 165,700,795.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.