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Finding the Third Proportional to 8,386,869 and 18,344,001

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Solution

The third proportional to 8,386,869 and 18,344,001 is: 40,122,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,869 : 18,344,001 = 18,344,001 : x
  2. Step 2: Convert to fraction form
    8,386,869/18,344,001 = 18,344,001/x
  3. Step 3: Cross multiply
    8,386,869x = 18,344,001 × 18,344,001
  4. Step 4: Simplify right side
    8,386,869x = 336,502,372,688,001
  5. Step 5: Solve for x
    x = 336,502,372,688,001/8,386,869
  6. Step 6: Final answer
    x = 40,122,526.38

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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.