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Finding the Third Proportional to 12,187,819,720 and 24,718,333,184

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Solution

The third proportional to 12,187,819,720 and 24,718,333,184 is: 50,131,689,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,819,720 : 24,718,333,184 = 24,718,333,184 : x
  2. Step 2: Convert to fraction form
    12,187,819,720/24,718,333,184 = 24,718,333,184/x
  3. Step 3: Cross multiply
    12,187,819,720x = 24,718,333,184 × 24,718,333,184
  4. Step 4: Simplify right side
    12,187,819,720x = 610,995,995,395,235,512,320
  5. Step 5: Solve for x
    x = 610,995,995,395,235,512,320/12,187,819,720
  6. Step 6: Final answer
    x = 50,131,689,623.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.