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Finding the Third Proportional to 8,396,413,767 and 19,438,229,304

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Solution

The third proportional to 8,396,413,767 and 19,438,229,304 is: 45,000,731,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396,413,767 : 19,438,229,304 = 19,438,229,304 : x
  2. Step 2: Convert to fraction form
    8,396,413,767/19,438,229,304 = 19,438,229,304/x
  3. Step 3: Cross multiply
    8,396,413,767x = 19,438,229,304 × 19,438,229,304
  4. Step 4: Simplify right side
    8,396,413,767x = 377,844,758,474,884,317,184
  5. Step 5: Solve for x
    x = 377,844,758,474,884,317,184/8,396,413,767
  6. Step 6: Final answer
    x = 45,000,731,140.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.