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Finding the Third Proportional to 318,234,760 and 475,392,246

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Solution

The third proportional to 318,234,760 and 475,392,246 is: 710,160,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,234,760 : 475,392,246 = 475,392,246 : x
  2. Step 2: Convert to fraction form
    318,234,760/475,392,246 = 475,392,246/x
  3. Step 3: Cross multiply
    318,234,760x = 475,392,246 × 475,392,246
  4. Step 4: Simplify right side
    318,234,760x = 225,997,787,556,924,512
  5. Step 5: Solve for x
    x = 225,997,787,556,924,512/318,234,760
  6. Step 6: Final answer
    x = 710,160,598.29

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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.