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Finding the Third Proportional to 4,419,374,156 and 9,574,327,534

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Solution

The third proportional to 4,419,374,156 and 9,574,327,534 is: 20,742,246,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419,374,156 : 9,574,327,534 = 9,574,327,534 : x
  2. Step 2: Convert to fraction form
    4,419,374,156/9,574,327,534 = 9,574,327,534/x
  3. Step 3: Cross multiply
    4,419,374,156x = 9,574,327,534 × 9,574,327,534
  4. Step 4: Simplify right side
    4,419,374,156x = 91,667,747,728,310,517,760
  5. Step 5: Solve for x
    x = 91,667,747,728,310,517,760/4,419,374,156
  6. Step 6: Final answer
    x = 20,742,246,411.49

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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.