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Finding the Third Proportional to 2,393,195,544 and 3,676,241,376

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Solution

The third proportional to 2,393,195,544 and 3,676,241,376 is: 5,647,156,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,544 : 3,676,241,376 = 3,676,241,376 : x
  2. Step 2: Convert to fraction form
    2,393,195,544/3,676,241,376 = 3,676,241,376/x
  3. Step 3: Cross multiply
    2,393,195,544x = 3,676,241,376 × 3,676,241,376
  4. Step 4: Simplify right side
    2,393,195,544x = 13,514,750,654,614,372,352
  5. Step 5: Solve for x
    x = 13,514,750,654,614,372,352/2,393,195,544
  6. Step 6: Final answer
    x = 5,647,156,868.77

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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.