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Finding the Third Proportional to 543,350,147 and 847,310,102

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Solution

The third proportional to 543,350,147 and 847,310,102 is: 1,321,310,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,350,147 : 847,310,102 = 847,310,102 : x
  2. Step 2: Convert to fraction form
    543,350,147/847,310,102 = 847,310,102/x
  3. Step 3: Cross multiply
    543,350,147x = 847,310,102 × 847,310,102
  4. Step 4: Simplify right side
    543,350,147x = 717,934,408,951,250,432
  5. Step 5: Solve for x
    x = 717,934,408,951,250,432/543,350,147
  6. Step 6: Final answer
    x = 1,321,310,784.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.