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Finding the Third Proportional to 244,292,357 and 532,480,233

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Solution

The third proportional to 244,292,357 and 532,480,233 is: 1,160,638,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,292,357 : 532,480,233 = 532,480,233 : x
  2. Step 2: Convert to fraction form
    244,292,357/532,480,233 = 532,480,233/x
  3. Step 3: Cross multiply
    244,292,357x = 532,480,233 × 532,480,233
  4. Step 4: Simplify right side
    244,292,357x = 283,535,198,535,734,304
  5. Step 5: Solve for x
    x = 283,535,198,535,734,304/244,292,357
  6. Step 6: Final answer
    x = 1,160,638,842.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.