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Finding the Third Proportional to 34,864,958 and 76,007,569

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Solution

The third proportional to 34,864,958 and 76,007,569 is: 165,700,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864,958 : 76,007,569 = 76,007,569 : x
  2. Step 2: Convert to fraction form
    34,864,958/76,007,569 = 76,007,569/x
  3. Step 3: Cross multiply
    34,864,958x = 76,007,569 × 76,007,569
  4. Step 4: Simplify right side
    34,864,958x = 5,777,150,545,289,761
  5. Step 5: Solve for x
    x = 5,777,150,545,289,761/34,864,958
  6. Step 6: Final answer
    x = 165,700,774.55

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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.