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Finding the Third Proportional to 1,105,254,246 and 2,396,992,948

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Solution

The third proportional to 1,105,254,246 and 2,396,992,948 is: 5,198,419,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,254,246 : 2,396,992,948 = 2,396,992,948 : x
  2. Step 2: Convert to fraction form
    1,105,254,246/2,396,992,948 = 2,396,992,948/x
  3. Step 3: Cross multiply
    1,105,254,246x = 2,396,992,948 × 2,396,992,948
  4. Step 4: Simplify right side
    1,105,254,246x = 5,745,575,192,761,731,072
  5. Step 5: Solve for x
    x = 5,745,575,192,761,731,072/1,105,254,246
  6. Step 6: Final answer
    x = 5,198,419,470.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.