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Finding the Third Proportional to 10,407,869 and 15,256,771

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Solution

The third proportional to 10,407,869 and 15,256,771 is: 22,364,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407,869 : 15,256,771 = 15,256,771 : x
  2. Step 2: Convert to fraction form
    10,407,869/15,256,771 = 15,256,771/x
  3. Step 3: Cross multiply
    10,407,869x = 15,256,771 × 15,256,771
  4. Step 4: Simplify right side
    10,407,869x = 232,769,061,346,441
  5. Step 5: Solve for x
    x = 232,769,061,346,441/10,407,869
  6. Step 6: Final answer
    x = 22,364,718.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.