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Finding the Third Proportional to 34,765,869 and 75,578,949

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Solution

The third proportional to 34,765,869 and 75,578,949 is: 164,304,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765,869 : 75,578,949 = 75,578,949 : x
  2. Step 2: Convert to fraction form
    34,765,869/75,578,949 = 75,578,949/x
  3. Step 3: Cross multiply
    34,765,869x = 75,578,949 × 75,578,949
  4. Step 4: Simplify right side
    34,765,869x = 5,712,177,531,944,601
  5. Step 5: Solve for x
    x = 5,712,177,531,944,601/34,765,869
  6. Step 6: Final answer
    x = 164,304,178.10

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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.