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Finding the Third Proportional to 1,301,640,404 and 1,982,914,668

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Solution

The third proportional to 1,301,640,404 and 1,982,914,668 is: 3,020,765,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,640,404 : 1,982,914,668 = 1,982,914,668 : x
  2. Step 2: Convert to fraction form
    1,301,640,404/1,982,914,668 = 1,982,914,668/x
  3. Step 3: Cross multiply
    1,301,640,404x = 1,982,914,668 × 1,982,914,668
  4. Step 4: Simplify right side
    1,301,640,404x = 3,931,950,580,569,550,336
  5. Step 5: Solve for x
    x = 3,931,950,580,569,550,336/1,301,640,404
  6. Step 6: Final answer
    x = 3,020,765,618.90

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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.