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Finding the Third Proportional to 1,428,305,705 and 2,206,103,177

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Solution

The third proportional to 1,428,305,705 and 2,206,103,177 is: 3,407,457,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,305,705 : 2,206,103,177 = 2,206,103,177 : x
  2. Step 2: Convert to fraction form
    1,428,305,705/2,206,103,177 = 2,206,103,177/x
  3. Step 3: Cross multiply
    1,428,305,705x = 2,206,103,177 × 2,206,103,177
  4. Step 4: Simplify right side
    1,428,305,705x = 4,866,891,227,569,492,992
  5. Step 5: Solve for x
    x = 4,866,891,227,569,492,992/1,428,305,705
  6. Step 6: Final answer
    x = 3,407,457,668.57

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Why These Related Problems?

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