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Finding the Third Proportional to 4,767,832 and 10,327,736

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Solution

The third proportional to 4,767,832 and 10,327,736 is: 22,371,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,832 : 10,327,736 = 10,327,736 : x
  2. Step 2: Convert to fraction form
    4,767,832/10,327,736 = 10,327,736/x
  3. Step 3: Cross multiply
    4,767,832x = 10,327,736 × 10,327,736
  4. Step 4: Simplify right side
    4,767,832x = 106,662,130,885,696
  5. Step 5: Solve for x
    x = 106,662,130,885,696/4,767,832
  6. Step 6: Final answer
    x = 22,371,201.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.