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Finding the Third Proportional to 4,002,113,221 and 8,693,167,702

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Solution

The third proportional to 4,002,113,221 and 8,693,167,702 is: 18,882,815,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002,113,221 : 8,693,167,702 = 8,693,167,702 : x
  2. Step 2: Convert to fraction form
    4,002,113,221/8,693,167,702 = 8,693,167,702/x
  3. Step 3: Cross multiply
    4,002,113,221x = 8,693,167,702 × 8,693,167,702
  4. Step 4: Simplify right side
    4,002,113,221x = 75,571,164,695,095,967,744
  5. Step 5: Solve for x
    x = 75,571,164,695,095,967,744/4,002,113,221
  6. Step 6: Final answer
    x = 18,882,815,283.33

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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.