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Finding the Third Proportional to 905,172,542 and 1,954,582,108

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Solution

The third proportional to 905,172,542 and 1,954,582,108 is: 4,220,622,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,172,542 : 1,954,582,108 = 1,954,582,108 : x
  2. Step 2: Convert to fraction form
    905,172,542/1,954,582,108 = 1,954,582,108/x
  3. Step 3: Cross multiply
    905,172,542x = 1,954,582,108 × 1,954,582,108
  4. Step 4: Simplify right side
    905,172,542x = 3,820,391,216,913,723,904
  5. Step 5: Solve for x
    x = 3,820,391,216,913,723,904/905,172,542
  6. Step 6: Final answer
    x = 4,220,622,079.93

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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.