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Finding the Third Proportional to 1,428,305,707 and 2,206,103,180

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Solution

The third proportional to 1,428,305,707 and 2,206,103,180 is: 3,407,457,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,305,707 : 2,206,103,180 = 2,206,103,180 : x
  2. Step 2: Convert to fraction form
    1,428,305,707/2,206,103,180 = 2,206,103,180/x
  3. Step 3: Cross multiply
    1,428,305,707x = 2,206,103,180 × 2,206,103,180
  4. Step 4: Simplify right side
    1,428,305,707x = 4,866,891,240,806,112,256
  5. Step 5: Solve for x
    x = 4,866,891,240,806,112,256/1,428,305,707
  6. Step 6: Final answer
    x = 3,407,457,673.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.