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Finding the Third Proportional to 3,374,678,324 and 7,343,436,422

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Solution

The third proportional to 3,374,678,324 and 7,343,436,422 is: 15,979,614,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374,678,324 : 7,343,436,422 = 7,343,436,422 : x
  2. Step 2: Convert to fraction form
    3,374,678,324/7,343,436,422 = 7,343,436,422/x
  3. Step 3: Cross multiply
    3,374,678,324x = 7,343,436,422 × 7,343,436,422
  4. Step 4: Simplify right side
    3,374,678,324x = 53,926,058,483,956,162,560
  5. Step 5: Solve for x
    x = 53,926,058,483,956,162,560/3,374,678,324
  6. Step 6: Final answer
    x = 15,979,614,442.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.