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Finding the Third Proportional to 4,353,470 and 10,166,065.25

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Solution

The third proportional to 4,353,470 and 10,166,065.25 is: 23,739,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353,470 : 10,166,065.25 = 10,166,065.25 : x
  2. Step 2: Convert to fraction form
    4,353,470/10,166,065.25 = 10,166,065.25/x
  3. Step 3: Cross multiply
    4,353,470x = 10,166,065.25 × 10,166,065.25
  4. Step 4: Simplify right side
    4,353,470x = 103,348,882,667,257.56
  5. Step 5: Solve for x
    x = 103,348,882,667,257.56/4,353,470
  6. Step 6: Final answer
    x = 23,739,426.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.