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Finding the Third Proportional to 1,451,369,241 and 2,241,215,604

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Solution

The third proportional to 1,451,369,241 and 2,241,215,604 is: 3,460,902,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,369,241 : 2,241,215,604 = 2,241,215,604 : x
  2. Step 2: Convert to fraction form
    1,451,369,241/2,241,215,604 = 2,241,215,604/x
  3. Step 3: Cross multiply
    1,451,369,241x = 2,241,215,604 × 2,241,215,604
  4. Step 4: Simplify right side
    1,451,369,241x = 5,023,047,383,613,084,672
  5. Step 5: Solve for x
    x = 5,023,047,383,613,084,672/1,451,369,241
  6. Step 6: Final answer
    x = 3,460,902,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.