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Finding the Third Proportional to 2,511,092,651 and 4,134,776,687

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Solution

The third proportional to 2,511,092,651 and 4,134,776,687 is: 6,808,342,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,092,651 : 4,134,776,687 = 4,134,776,687 : x
  2. Step 2: Convert to fraction form
    2,511,092,651/4,134,776,687 = 4,134,776,687/x
  3. Step 3: Cross multiply
    2,511,092,651x = 4,134,776,687 × 4,134,776,687
  4. Step 4: Simplify right side
    2,511,092,651x = 17,096,378,251,358,695,424
  5. Step 5: Solve for x
    x = 17,096,378,251,358,695,424/2,511,092,651
  6. Step 6: Final answer
    x = 6,808,342,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.