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Finding the Third Proportional to 10,448,694 and 16,138,869

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Solution

The third proportional to 10,448,694 and 16,138,869 is: 24,927,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,694 : 16,138,869 = 16,138,869 : x
  2. Step 2: Convert to fraction form
    10,448,694/16,138,869 = 16,138,869/x
  3. Step 3: Cross multiply
    10,448,694x = 16,138,869 × 16,138,869
  4. Step 4: Simplify right side
    10,448,694x = 260,463,092,599,161
  5. Step 5: Solve for x
    x = 260,463,092,599,161/10,448,694
  6. Step 6: Final answer
    x = 24,927,813.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.