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Finding the Third Proportional to 251,691,649 and 593,307,197

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Solution

The third proportional to 251,691,649 and 593,307,197 is: 1,398,590,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,691,649 : 593,307,197 = 593,307,197 : x
  2. Step 2: Convert to fraction form
    251,691,649/593,307,197 = 593,307,197/x
  3. Step 3: Cross multiply
    251,691,649x = 593,307,197 × 593,307,197
  4. Step 4: Simplify right side
    251,691,649x = 352,013,430,011,996,800
  5. Step 5: Solve for x
    x = 352,013,430,011,996,800/251,691,649
  6. Step 6: Final answer
    x = 1,398,590,026.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.