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Finding the Third Proportional to 4,797,520 and 10,306,464

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Solution

The third proportional to 4,797,520 and 10,306,464 is: 22,141,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797,520 : 10,306,464 = 10,306,464 : x
  2. Step 2: Convert to fraction form
    4,797,520/10,306,464 = 10,306,464/x
  3. Step 3: Cross multiply
    4,797,520x = 10,306,464 × 10,306,464
  4. Step 4: Simplify right side
    4,797,520x = 106,223,200,183,296
  5. Step 5: Solve for x
    x = 106,223,200,183,296/4,797,520
  6. Step 6: Final answer
    x = 22,141,273.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.