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Finding the Third Proportional to 748,601,928 and 1,669,331,448

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Solution

The third proportional to 748,601,928 and 1,669,331,448 is: 3,722,495,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,601,928 : 1,669,331,448 = 1,669,331,448 : x
  2. Step 2: Convert to fraction form
    748,601,928/1,669,331,448 = 1,669,331,448/x
  3. Step 3: Cross multiply
    748,601,928x = 1,669,331,448 × 1,669,331,448
  4. Step 4: Simplify right side
    748,601,928x = 2,786,667,483,281,776,640
  5. Step 5: Solve for x
    x = 2,786,667,483,281,776,640/748,601,928
  6. Step 6: Final answer
    x = 3,722,495,733.78

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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.