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Finding the Third Proportional to 2,268,981 and 4,898,953.13

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Solution

The third proportional to 2,268,981 and 4,898,953.13 is: 10,577,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268,981 : 4,898,953.13 = 4,898,953.13 : x
  2. Step 2: Convert to fraction form
    2,268,981/4,898,953.13 = 4,898,953.13/x
  3. Step 3: Cross multiply
    2,268,981x = 4,898,953.13 × 4,898,953.13
  4. Step 4: Simplify right side
    2,268,981x = 23,999,741,720,947.27
  5. Step 5: Solve for x
    x = 23,999,741,720,947.27/2,268,981
  6. Step 6: Final answer
    x = 10,577,321.59

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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.