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Finding the Third Proportional to 4,955,586 and 10,177,971

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Solution

The third proportional to 4,955,586 and 10,177,971 is: 20,903,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955,586 : 10,177,971 = 10,177,971 : x
  2. Step 2: Convert to fraction form
    4,955,586/10,177,971 = 10,177,971/x
  3. Step 3: Cross multiply
    4,955,586x = 10,177,971 × 10,177,971
  4. Step 4: Simplify right side
    4,955,586x = 103,591,093,676,841
  5. Step 5: Solve for x
    x = 103,591,093,676,841/4,955,586
  6. Step 6: Final answer
    x = 20,903,903.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.