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Finding the Third Proportional to 34,241,019 and 75,864,865

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Solution

The third proportional to 34,241,019 and 75,864,865 is: 168,087,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,241,019 : 75,864,865 = 75,864,865 : x
  2. Step 2: Convert to fraction form
    34,241,019/75,864,865 = 75,864,865/x
  3. Step 3: Cross multiply
    34,241,019x = 75,864,865 × 75,864,865
  4. Step 4: Simplify right side
    34,241,019x = 5,755,477,741,468,225
  5. Step 5: Solve for x
    x = 5,755,477,741,468,225/34,241,019
  6. Step 6: Final answer
    x = 168,087,221.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.