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Finding the Third Proportional to 22,899,224.25 and 49,385,574

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Solution

The third proportional to 22,899,224.25 and 49,385,574 is: 106,507,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899,224.25 : 49,385,574 = 49,385,574 : x
  2. Step 2: Convert to fraction form
    22,899,224.25/49,385,574 = 49,385,574/x
  3. Step 3: Cross multiply
    22,899,224.25x = 49,385,574 × 49,385,574
  4. Step 4: Simplify right side
    22,899,224.25x = 2,438,934,919,309,476
  5. Step 5: Solve for x
    x = 2,438,934,919,309,476/22,899,224.25
  6. Step 6: Final answer
    x = 106,507,316.26

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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.