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Finding the Third Proportional to 4,741,534 and 10,241,202

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Solution

The third proportional to 4,741,534 and 10,241,202 is: 22,119,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,534 : 10,241,202 = 10,241,202 : x
  2. Step 2: Convert to fraction form
    4,741,534/10,241,202 = 10,241,202/x
  3. Step 3: Cross multiply
    4,741,534x = 10,241,202 × 10,241,202
  4. Step 4: Simplify right side
    4,741,534x = 104,882,218,404,804
  5. Step 5: Solve for x
    x = 104,882,218,404,804/4,741,534
  6. Step 6: Final answer
    x = 22,119,891.66

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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.