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Finding the Third Proportional to 1,497,395,343 and 3,231,544,398

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Solution

The third proportional to 1,497,395,343 and 3,231,544,398 is: 6,974,029,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,395,343 : 3,231,544,398 = 3,231,544,398 : x
  2. Step 2: Convert to fraction form
    1,497,395,343/3,231,544,398 = 3,231,544,398/x
  3. Step 3: Cross multiply
    1,497,395,343x = 3,231,544,398 × 3,231,544,398
  4. Step 4: Simplify right side
    1,497,395,343x = 10,442,879,196,245,182,464
  5. Step 5: Solve for x
    x = 10,442,879,196,245,182,464/1,497,395,343
  6. Step 6: Final answer
    x = 6,974,029,433.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.