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Finding the Third Proportional to 1,281,682,704 and 2,631,310,720

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Solution

The third proportional to 1,281,682,704 and 2,631,310,720 is: 5,402,114,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,682,704 : 2,631,310,720 = 2,631,310,720 : x
  2. Step 2: Convert to fraction form
    1,281,682,704/2,631,310,720 = 2,631,310,720/x
  3. Step 3: Cross multiply
    1,281,682,704x = 2,631,310,720 × 2,631,310,720
  4. Step 4: Simplify right side
    1,281,682,704x = 6,923,796,105,186,918,400
  5. Step 5: Solve for x
    x = 6,923,796,105,186,918,400/1,281,682,704
  6. Step 6: Final answer
    x = 5,402,114,020.56

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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.