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Finding the Third Proportional to 247,687,700 and 346,467,344

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Solution

The third proportional to 247,687,700 and 346,467,344 is: 484,641,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,687,700 : 346,467,344 = 346,467,344 : x
  2. Step 2: Convert to fraction form
    247,687,700/346,467,344 = 346,467,344/x
  3. Step 3: Cross multiply
    247,687,700x = 346,467,344 × 346,467,344
  4. Step 4: Simplify right side
    247,687,700x = 120,039,620,458,414,336
  5. Step 5: Solve for x
    x = 120,039,620,458,414,336/247,687,700
  6. Step 6: Final answer
    x = 484,641,023.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.