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Finding the Third Proportional to 1,925,264,292 and 4,219,614,366

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Solution

The third proportional to 1,925,264,292 and 4,219,614,366 is: 9,248,156,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,264,292 : 4,219,614,366 = 4,219,614,366 : x
  2. Step 2: Convert to fraction form
    1,925,264,292/4,219,614,366 = 4,219,614,366/x
  3. Step 3: Cross multiply
    1,925,264,292x = 4,219,614,366 × 4,219,614,366
  4. Step 4: Simplify right side
    1,925,264,292x = 17,805,145,397,753,581,568
  5. Step 5: Solve for x
    x = 17,805,145,397,753,581,568/1,925,264,292
  6. Step 6: Final answer
    x = 9,248,156,459.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.