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Finding the Third Proportional to 1,647,086,739 and 2,509,224,382.50

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Solution

The third proportional to 1,647,086,739 and 2,509,224,382.50 is: 3,822,632,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,086,739 : 2,509,224,382.50 = 2,509,224,382.50 : x
  2. Step 2: Convert to fraction form
    1,647,086,739/2,509,224,382.50 = 2,509,224,382.50/x
  3. Step 3: Cross multiply
    1,647,086,739x = 2,509,224,382.50 × 2,509,224,382.50
  4. Step 4: Simplify right side
    1,647,086,739x = 6,296,207,001,732,506,624
  5. Step 5: Solve for x
    x = 6,296,207,001,732,506,624/1,647,086,739
  6. Step 6: Final answer
    x = 3,822,632,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.