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Finding the Third Proportional to 369,292,806 and 799,867,296

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Solution

The third proportional to 369,292,806 and 799,867,296 is: 1,732,467,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,292,806 : 799,867,296 = 799,867,296 : x
  2. Step 2: Convert to fraction form
    369,292,806/799,867,296 = 799,867,296/x
  3. Step 3: Cross multiply
    369,292,806x = 799,867,296 × 799,867,296
  4. Step 4: Simplify right side
    369,292,806x = 639,787,691,210,351,616
  5. Step 5: Solve for x
    x = 639,787,691,210,351,616/369,292,806
  6. Step 6: Final answer
    x = 1,732,467,247.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.