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Finding the Third Proportional to 1,391,537,084 and 2,982,268,498

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Solution

The third proportional to 1,391,537,084 and 2,982,268,498 is: 6,391,439,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,537,084 : 2,982,268,498 = 2,982,268,498 : x
  2. Step 2: Convert to fraction form
    1,391,537,084/2,982,268,498 = 2,982,268,498/x
  3. Step 3: Cross multiply
    1,391,537,084x = 2,982,268,498 × 2,982,268,498
  4. Step 4: Simplify right side
    1,391,537,084x = 8,893,925,394,163,176,448
  5. Step 5: Solve for x
    x = 8,893,925,394,163,176,448/1,391,537,084
  6. Step 6: Final answer
    x = 6,391,439,722.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.