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Finding the Third Proportional to 1,407,801,782 and 2,129,822,193

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Solution

The third proportional to 1,407,801,782 and 2,129,822,193 is: 3,222,145,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,801,782 : 2,129,822,193 = 2,129,822,193 : x
  2. Step 2: Convert to fraction form
    1,407,801,782/2,129,822,193 = 2,129,822,193/x
  3. Step 3: Cross multiply
    1,407,801,782x = 2,129,822,193 × 2,129,822,193
  4. Step 4: Simplify right side
    1,407,801,782x = 4,536,142,573,795,329,024
  5. Step 5: Solve for x
    x = 4,536,142,573,795,329,024/1,407,801,782
  6. Step 6: Final answer
    x = 3,222,145,782.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.