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Finding the Third Proportional to 22,471,646 and 49,104,059

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Solution

The third proportional to 22,471,646 and 49,104,059 is: 107,300,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471,646 : 49,104,059 = 49,104,059 : x
  2. Step 2: Convert to fraction form
    22,471,646/49,104,059 = 49,104,059/x
  3. Step 3: Cross multiply
    22,471,646x = 49,104,059 × 49,104,059
  4. Step 4: Simplify right side
    22,471,646x = 2,411,208,610,275,481
  5. Step 5: Solve for x
    x = 2,411,208,610,275,481/22,471,646
  6. Step 6: Final answer
    x = 107,300,044.25

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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.