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Finding the Third Proportional to 5,107,810 and 10,838,268

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Solution

The third proportional to 5,107,810 and 10,838,268 is: 22,997,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,810 : 10,838,268 = 10,838,268 : x
  2. Step 2: Convert to fraction form
    5,107,810/10,838,268 = 10,838,268/x
  3. Step 3: Cross multiply
    5,107,810x = 10,838,268 × 10,838,268
  4. Step 4: Simplify right side
    5,107,810x = 117,468,053,239,824
  5. Step 5: Solve for x
    x = 117,468,053,239,824/5,107,810
  6. Step 6: Final answer
    x = 22,997,733.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.