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Finding the Third Proportional to 12,652,910,573 and 27,210,040,678

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Solution

The third proportional to 12,652,910,573 and 27,210,040,678 is: 58,515,098,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652,910,573 : 27,210,040,678 = 27,210,040,678 : x
  2. Step 2: Convert to fraction form
    12,652,910,573/27,210,040,678 = 27,210,040,678/x
  3. Step 3: Cross multiply
    12,652,910,573x = 27,210,040,678 × 27,210,040,678
  4. Step 4: Simplify right side
    12,652,910,573x = 740,386,313,698,414,690,304
  5. Step 5: Solve for x
    x = 740,386,313,698,414,690,304/12,652,910,573
  6. Step 6: Final answer
    x = 58,515,098,911.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.