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Finding the Third Proportional to 1,281,680,662 and 2,631,307,040

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Solution

The third proportional to 1,281,680,662 and 2,631,307,040 is: 5,402,107,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,680,662 : 2,631,307,040 = 2,631,307,040 : x
  2. Step 2: Convert to fraction form
    1,281,680,662/2,631,307,040 = 2,631,307,040/x
  3. Step 3: Cross multiply
    1,281,680,662x = 2,631,307,040 × 2,631,307,040
  4. Step 4: Simplify right side
    1,281,680,662x = 6,923,776,738,753,561,600
  5. Step 5: Solve for x
    x = 6,923,776,738,753,561,600/1,281,680,662
  6. Step 6: Final answer
    x = 5,402,107,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.