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Finding the Third Proportional to 1,391,537,856 and 2,982,270,048

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Solution

The third proportional to 1,391,537,856 and 2,982,270,048 is: 6,391,442,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,537,856 : 2,982,270,048 = 2,982,270,048 : x
  2. Step 2: Convert to fraction form
    1,391,537,856/2,982,270,048 = 2,982,270,048/x
  3. Step 3: Cross multiply
    1,391,537,856x = 2,982,270,048 × 2,982,270,048
  4. Step 4: Simplify right side
    1,391,537,856x = 8,893,934,639,197,922,304
  5. Step 5: Solve for x
    x = 8,893,934,639,197,922,304/1,391,537,856
  6. Step 6: Final answer
    x = 6,391,442,820.51

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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.