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Finding the Third Proportional to 253,815,619,229 and 383,987,845,484

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Solution

The third proportional to 253,815,619,229 and 383,987,845,484 is: 580,920,378,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,815,619,229 : 383,987,845,484 = 383,987,845,484 : x
  2. Step 2: Convert to fraction form
    253,815,619,229/383,987,845,484 = 383,987,845,484/x
  3. Step 3: Cross multiply
    253,815,619,229x = 383,987,845,484 × 383,987,845,484
  4. Step 4: Simplify right side
    253,815,619,229x = 147,446,665,479,444,251,017,216
  5. Step 5: Solve for x
    x = 147,446,665,479,444,251,017,216/253,815,619,229
  6. Step 6: Final answer
    x = 580,920,378,057.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.