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Finding the Third Proportional to 22,596,514 and 49,418,310

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Solution

The third proportional to 22,596,514 and 49,418,310 is: 108,077,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596,514 : 49,418,310 = 49,418,310 : x
  2. Step 2: Convert to fraction form
    22,596,514/49,418,310 = 49,418,310/x
  3. Step 3: Cross multiply
    22,596,514x = 49,418,310 × 49,418,310
  4. Step 4: Simplify right side
    22,596,514x = 2,442,169,363,256,100
  5. Step 5: Solve for x
    x = 2,442,169,363,256,100/22,596,514
  6. Step 6: Final answer
    x = 108,077,261.97

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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.