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Finding the Third Proportional to 292,387,329,824 and 394,499,160,624

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Solution

The third proportional to 292,387,329,824 and 394,499,160,624 is: 532,271,996,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,387,329,824 : 394,499,160,624 = 394,499,160,624 : x
  2. Step 2: Convert to fraction form
    292,387,329,824/394,499,160,624 = 394,499,160,624/x
  3. Step 3: Cross multiply
    292,387,329,824x = 394,499,160,624 × 394,499,160,624
  4. Step 4: Simplify right side
    292,387,329,824x = 155,629,587,733,040,544,612,352
  5. Step 5: Solve for x
    x = 155,629,587,733,040,544,612,352/292,387,329,824
  6. Step 6: Final answer
    x = 532,271,996,282.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.