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Finding the Third Proportional to 2,627,040,816 and 5,711,345,424

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Solution

The third proportional to 2,627,040,816 and 5,711,345,424 is: 12,416,809,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,040,816 : 5,711,345,424 = 5,711,345,424 : x
  2. Step 2: Convert to fraction form
    2,627,040,816/5,711,345,424 = 5,711,345,424/x
  3. Step 3: Cross multiply
    2,627,040,816x = 5,711,345,424 × 5,711,345,424
  4. Step 4: Simplify right side
    2,627,040,816x = 32,619,466,552,245,739,520
  5. Step 5: Solve for x
    x = 32,619,466,552,245,739,520/2,627,040,816
  6. Step 6: Final answer
    x = 12,416,809,953.46

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