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Finding the Third Proportional to 12,081,171,771 and 24,506,823,180

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Solution

The third proportional to 12,081,171,771 and 24,506,823,180 is: 49,712,428,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081,171,771 : 24,506,823,180 = 24,506,823,180 : x
  2. Step 2: Convert to fraction form
    12,081,171,771/24,506,823,180 = 24,506,823,180/x
  3. Step 3: Cross multiply
    12,081,171,771x = 24,506,823,180 × 24,506,823,180
  4. Step 4: Simplify right side
    12,081,171,771x = 600,584,382,375,785,267,200
  5. Step 5: Solve for x
    x = 600,584,382,375,785,267,200/12,081,171,771
  6. Step 6: Final answer
    x = 49,712,428,045.88

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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.