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Finding the Third Proportional to 1,165,257,382 and 2,496,722,696

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Solution

The third proportional to 1,165,257,382 and 2,496,722,696 is: 5,349,568,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,257,382 : 2,496,722,696 = 2,496,722,696 : x
  2. Step 2: Convert to fraction form
    1,165,257,382/2,496,722,696 = 2,496,722,696/x
  3. Step 3: Cross multiply
    1,165,257,382x = 2,496,722,696 × 2,496,722,696
  4. Step 4: Simplify right side
    1,165,257,382x = 6,233,624,220,721,508,352
  5. Step 5: Solve for x
    x = 6,233,624,220,721,508,352/1,165,257,382
  6. Step 6: Final answer
    x = 5,349,568,530.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.