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Finding the Third Proportional to 12,612,356,592 and 17,738,435,712

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Solution

The third proportional to 12,612,356,592 and 17,738,435,712 is: 24,947,923,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612,356,592 : 17,738,435,712 = 17,738,435,712 : x
  2. Step 2: Convert to fraction form
    12,612,356,592/17,738,435,712 = 17,738,435,712/x
  3. Step 3: Cross multiply
    12,612,356,592x = 17,738,435,712 × 17,738,435,712
  4. Step 4: Simplify right side
    12,612,356,592x = 314,652,101,508,756,930,560
  5. Step 5: Solve for x
    x = 314,652,101,508,756,930,560/12,612,356,592
  6. Step 6: Final answer
    x = 24,947,923,031.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.