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Finding the Third Proportional to 2,393,195,562 and 3,676,241,403

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Solution

The third proportional to 2,393,195,562 and 3,676,241,403 is: 5,647,156,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,562 : 3,676,241,403 = 3,676,241,403 : x
  2. Step 2: Convert to fraction form
    2,393,195,562/3,676,241,403 = 3,676,241,403/x
  3. Step 3: Cross multiply
    2,393,195,562x = 3,676,241,403 × 3,676,241,403
  4. Step 4: Simplify right side
    2,393,195,562x = 13,514,750,853,131,409,408
  5. Step 5: Solve for x
    x = 13,514,750,853,131,409,408/2,393,195,562
  6. Step 6: Final answer
    x = 5,647,156,909.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.