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Finding the Third Proportional to 2,627,040,828 and 5,711,345,448

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Solution

The third proportional to 2,627,040,828 and 5,711,345,448 is: 12,416,810,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,040,828 : 5,711,345,448 = 5,711,345,448 : x
  2. Step 2: Convert to fraction form
    2,627,040,828/5,711,345,448 = 5,711,345,448/x
  3. Step 3: Cross multiply
    2,627,040,828x = 5,711,345,448 × 5,711,345,448
  4. Step 4: Simplify right side
    2,627,040,828x = 32,619,466,826,390,319,104
  5. Step 5: Solve for x
    x = 32,619,466,826,390,319,104/2,627,040,828
  6. Step 6: Final answer
    x = 12,416,810,001.09

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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.