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Finding the Third Proportional to 35,381,204 and 75,681,007

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Solution

The third proportional to 35,381,204 and 75,681,007 is: 161,882,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381,204 : 75,681,007 = 75,681,007 : x
  2. Step 2: Convert to fraction form
    35,381,204/75,681,007 = 75,681,007/x
  3. Step 3: Cross multiply
    35,381,204x = 75,681,007 × 75,681,007
  4. Step 4: Simplify right side
    35,381,204x = 5,727,614,820,534,049
  5. Step 5: Solve for x
    x = 5,727,614,820,534,049/35,381,204
  6. Step 6: Final answer
    x = 161,882,982.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.