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Finding the Third Proportional to 1,819,754,586 and 3,929,479,128

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Solution

The third proportional to 1,819,754,586 and 3,929,479,128 is: 8,485,103,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,754,586 : 3,929,479,128 = 3,929,479,128 : x
  2. Step 2: Convert to fraction form
    1,819,754,586/3,929,479,128 = 3,929,479,128/x
  3. Step 3: Cross multiply
    1,819,754,586x = 3,929,479,128 × 3,929,479,128
  4. Step 4: Simplify right side
    1,819,754,586x = 15,440,806,217,387,640,832
  5. Step 5: Solve for x
    x = 15,440,806,217,387,640,832/1,819,754,586
  6. Step 6: Final answer
    x = 8,485,103,615.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.