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Finding the Third Proportional to 5,386,867 and 11,628,364

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Solution

The third proportional to 5,386,867 and 11,628,364 is: 25,101,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,867 : 11,628,364 = 11,628,364 : x
  2. Step 2: Convert to fraction form
    5,386,867/11,628,364 = 11,628,364/x
  3. Step 3: Cross multiply
    5,386,867x = 11,628,364 × 11,628,364
  4. Step 4: Simplify right side
    5,386,867x = 135,218,849,316,496
  5. Step 5: Solve for x
    x = 135,218,849,316,496/5,386,867
  6. Step 6: Final answer
    x = 25,101,575.61

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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.