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Finding the Third Proportional to 2,393,195,569 and 3,676,241,414

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Solution

The third proportional to 2,393,195,569 and 3,676,241,414 is: 5,647,156,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,569 : 3,676,241,414 = 3,676,241,414 : x
  2. Step 2: Convert to fraction form
    2,393,195,569/3,676,241,414 = 3,676,241,414/x
  3. Step 3: Cross multiply
    2,393,195,569x = 3,676,241,414 × 3,676,241,414
  4. Step 4: Simplify right side
    2,393,195,569x = 13,514,750,934,008,719,360
  5. Step 5: Solve for x
    x = 13,514,750,934,008,719,360/2,393,195,569
  6. Step 6: Final answer
    x = 5,647,156,926.53

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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.