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Finding the Third Proportional to 1,231,727,886 and 2,550,764,619

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Solution

The third proportional to 1,231,727,886 and 2,550,764,619 is: 5,282,335,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,727,886 : 2,550,764,619 = 2,550,764,619 : x
  2. Step 2: Convert to fraction form
    1,231,727,886/2,550,764,619 = 2,550,764,619/x
  3. Step 3: Cross multiply
    1,231,727,886x = 2,550,764,619 × 2,550,764,619
  4. Step 4: Simplify right side
    1,231,727,886x = 6,506,400,141,542,214,656
  5. Step 5: Solve for x
    x = 6,506,400,141,542,214,656/1,231,727,886
  6. Step 6: Final answer
    x = 5,282,335,664.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.