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Finding the Third Proportional to 34,358,742 and 73,635,864.75

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Solution

The third proportional to 34,358,742 and 73,635,864.75 is: 157,812,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358,742 : 73,635,864.75 = 73,635,864.75 : x
  2. Step 2: Convert to fraction form
    34,358,742/73,635,864.75 = 73,635,864.75/x
  3. Step 3: Cross multiply
    34,358,742x = 73,635,864.75 × 73,635,864.75
  4. Step 4: Simplify right side
    34,358,742x = 5,422,240,577,480,293
  5. Step 5: Solve for x
    x = 5,422,240,577,480,293/34,358,742
  6. Step 6: Final answer
    x = 157,812,546.73

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