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Finding the Third Proportional to 748,601,930 and 1,669,331,452

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Solution

The third proportional to 748,601,930 and 1,669,331,452 is: 3,722,495,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,601,930 : 1,669,331,452 = 1,669,331,452 : x
  2. Step 2: Convert to fraction form
    748,601,930/1,669,331,452 = 1,669,331,452/x
  3. Step 3: Cross multiply
    748,601,930x = 1,669,331,452 × 1,669,331,452
  4. Step 4: Simplify right side
    748,601,930x = 2,786,667,496,636,428,288
  5. Step 5: Solve for x
    x = 2,786,667,496,636,428,288/748,601,930
  6. Step 6: Final answer
    x = 3,722,495,741.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.