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Finding the Third Proportional to 77,102,496 and 167,641,704

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Solution

The third proportional to 77,102,496 and 167,641,704 is: 364,498,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102,496 : 167,641,704 = 167,641,704 : x
  2. Step 2: Convert to fraction form
    77,102,496/167,641,704 = 167,641,704/x
  3. Step 3: Cross multiply
    77,102,496x = 167,641,704 × 167,641,704
  4. Step 4: Simplify right side
    77,102,496x = 28,103,740,920,023,616
  5. Step 5: Solve for x
    x = 28,103,740,920,023,616/77,102,496
  6. Step 6: Final answer
    x = 364,498,458.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.