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Finding the Third Proportional to 859,733,192 and 1,842,140,722

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Solution

The third proportional to 859,733,192 and 1,842,140,722 is: 3,947,134,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,733,192 : 1,842,140,722 = 1,842,140,722 : x
  2. Step 2: Convert to fraction form
    859,733,192/1,842,140,722 = 1,842,140,722/x
  3. Step 3: Cross multiply
    859,733,192x = 1,842,140,722 × 1,842,140,722
  4. Step 4: Simplify right side
    859,733,192x = 3,393,482,439,650,681,344
  5. Step 5: Solve for x
    x = 3,393,482,439,650,681,344/859,733,192
  6. Step 6: Final answer
    x = 3,947,134,379.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.