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Finding the Third Proportional to 318,234,758 and 475,392,243

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Solution

The third proportional to 318,234,758 and 475,392,243 is: 710,160,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,234,758 : 475,392,243 = 475,392,243 : x
  2. Step 2: Convert to fraction form
    318,234,758/475,392,243 = 475,392,243/x
  3. Step 3: Cross multiply
    318,234,758x = 475,392,243 × 475,392,243
  4. Step 4: Simplify right side
    318,234,758x = 225,997,784,704,571,040
  5. Step 5: Solve for x
    x = 225,997,784,704,571,040/318,234,758
  6. Step 6: Final answer
    x = 710,160,593.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.