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Finding the Third Proportional to 35,381,202 and 75,681,003

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Solution

The third proportional to 35,381,202 and 75,681,003 is: 161,882,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381,202 : 75,681,003 = 75,681,003 : x
  2. Step 2: Convert to fraction form
    35,381,202/75,681,003 = 75,681,003/x
  3. Step 3: Cross multiply
    35,381,202x = 75,681,003 × 75,681,003
  4. Step 4: Simplify right side
    35,381,202x = 5,727,614,215,086,009
  5. Step 5: Solve for x
    x = 5,727,614,215,086,009/35,381,202
  6. Step 6: Final answer
    x = 161,882,974.33

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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.