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Finding the Third Proportional to 4,107,562 and 9,159,586

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Solution

The third proportional to 4,107,562 and 9,159,586 is: 20,425,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,562 : 9,159,586 = 9,159,586 : x
  2. Step 2: Convert to fraction form
    4,107,562/9,159,586 = 9,159,586/x
  3. Step 3: Cross multiply
    4,107,562x = 9,159,586 × 9,159,586
  4. Step 4: Simplify right side
    4,107,562x = 83,898,015,691,396
  5. Step 5: Solve for x
    x = 83,898,015,691,396/4,107,562
  6. Step 6: Final answer
    x = 20,425,258.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.