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Finding the Third Proportional to 1,986,336,038 and 4,257,860,748

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Solution

The third proportional to 1,986,336,038 and 4,257,860,748 is: 9,127,044,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986,336,038 : 4,257,860,748 = 4,257,860,748 : x
  2. Step 2: Convert to fraction form
    1,986,336,038/4,257,860,748 = 4,257,860,748/x
  3. Step 3: Cross multiply
    1,986,336,038x = 4,257,860,748 × 4,257,860,748
  4. Step 4: Simplify right side
    1,986,336,038x = 18,129,378,149,359,120,384
  5. Step 5: Solve for x
    x = 18,129,378,149,359,120,384/1,986,336,038
  6. Step 6: Final answer
    x = 9,127,044,871.83

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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.