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Finding the Third Proportional to 22,769,596 and 49,174,720

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Solution

The third proportional to 22,769,596 and 49,174,720 is: 106,200,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769,596 : 49,174,720 = 49,174,720 : x
  2. Step 2: Convert to fraction form
    22,769,596/49,174,720 = 49,174,720/x
  3. Step 3: Cross multiply
    22,769,596x = 49,174,720 × 49,174,720
  4. Step 4: Simplify right side
    22,769,596x = 2,418,153,087,078,400
  5. Step 5: Solve for x
    x = 2,418,153,087,078,400/22,769,596
  6. Step 6: Final answer
    x = 106,200,965.84

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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.