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Finding the Third Proportional to 1,458,591,110 and 3,138,404,494

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Solution

The third proportional to 1,458,591,110 and 3,138,404,494 is: 6,752,805,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,591,110 : 3,138,404,494 = 3,138,404,494 : x
  2. Step 2: Convert to fraction form
    1,458,591,110/3,138,404,494 = 3,138,404,494/x
  3. Step 3: Cross multiply
    1,458,591,110x = 3,138,404,494 × 3,138,404,494
  4. Step 4: Simplify right side
    1,458,591,110x = 9,849,582,767,959,396,352
  5. Step 5: Solve for x
    x = 9,849,582,767,959,396,352/1,458,591,110
  6. Step 6: Final answer
    x = 6,752,805,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.