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Finding the Third Proportional to 1,614,319,879 and 2,506,473,404

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Solution

The third proportional to 1,614,319,879 and 2,506,473,404 is: 3,891,675,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,319,879 : 2,506,473,404 = 2,506,473,404 : x
  2. Step 2: Convert to fraction form
    1,614,319,879/2,506,473,404 = 2,506,473,404/x
  3. Step 3: Cross multiply
    1,614,319,879x = 2,506,473,404 × 2,506,473,404
  4. Step 4: Simplify right side
    1,614,319,879x = 6,282,408,924,959,347,712
  5. Step 5: Solve for x
    x = 6,282,408,924,959,347,712/1,614,319,879
  6. Step 6: Final answer
    x = 3,891,675,377.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.