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Finding the Third Proportional to 270,325,116 and 418,769,082

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Solution

The third proportional to 270,325,116 and 418,769,082 is: 648,728,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,325,116 : 418,769,082 = 418,769,082 : x
  2. Step 2: Convert to fraction form
    270,325,116/418,769,082 = 418,769,082/x
  3. Step 3: Cross multiply
    270,325,116x = 418,769,082 × 418,769,082
  4. Step 4: Simplify right side
    270,325,116x = 175,367,544,039,122,720
  5. Step 5: Solve for x
    x = 175,367,544,039,122,720/270,325,116
  6. Step 6: Final answer
    x = 648,728,267.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.