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Finding the Third Proportional to 998,376,408 and 2,226,178,080

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Solution

The third proportional to 998,376,408 and 2,226,178,080 is: 4,963,928,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,376,408 : 2,226,178,080 = 2,226,178,080 : x
  2. Step 2: Convert to fraction form
    998,376,408/2,226,178,080 = 2,226,178,080/x
  3. Step 3: Cross multiply
    998,376,408x = 2,226,178,080 × 2,226,178,080
  4. Step 4: Simplify right side
    998,376,408x = 4,955,868,843,872,486,400
  5. Step 5: Solve for x
    x = 4,955,868,843,872,486,400/998,376,408
  6. Step 6: Final answer
    x = 4,963,928,238.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.