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Finding the Third Proportional to 1,391,537,920 and 2,982,270,144

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Solution

The third proportional to 1,391,537,920 and 2,982,270,144 is: 6,391,442,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,537,920 : 2,982,270,144 = 2,982,270,144 : x
  2. Step 2: Convert to fraction form
    1,391,537,920/2,982,270,144 = 2,982,270,144/x
  3. Step 3: Cross multiply
    1,391,537,920x = 2,982,270,144 × 2,982,270,144
  4. Step 4: Simplify right side
    1,391,537,920x = 8,893,935,211,793,780,736
  5. Step 5: Solve for x
    x = 8,893,935,211,793,780,736/1,391,537,920
  6. Step 6: Final answer
    x = 6,391,442,938.04

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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.