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Finding the Third Proportional to 424,824,765 and 656,103,668

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Solution

The third proportional to 424,824,765 and 656,103,668 is: 1,013,293,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,765 : 656,103,668 = 656,103,668 : x
  2. Step 2: Convert to fraction form
    424,824,765/656,103,668 = 656,103,668/x
  3. Step 3: Cross multiply
    424,824,765x = 656,103,668 × 656,103,668
  4. Step 4: Simplify right side
    424,824,765x = 430,472,023,163,054,208
  5. Step 5: Solve for x
    x = 430,472,023,163,054,208/424,824,765
  6. Step 6: Final answer
    x = 1,013,293,147.27

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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.