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Finding the Third Proportional to 543,347,872 and 847,306,871

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Solution

The third proportional to 543,347,872 and 847,306,871 is: 1,321,306,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,347,872 : 847,306,871 = 847,306,871 : x
  2. Step 2: Convert to fraction form
    543,347,872/847,306,871 = 847,306,871/x
  3. Step 3: Cross multiply
    543,347,872x = 847,306,871 × 847,306,871
  4. Step 4: Simplify right side
    543,347,872x = 717,928,933,643,810,688
  5. Step 5: Solve for x
    x = 717,928,933,643,810,688/543,347,872
  6. Step 6: Final answer
    x = 1,321,306,239.78

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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.