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Finding the Third Proportional to 4,257,018 and 9,306,276.75

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Solution

The third proportional to 4,257,018 and 9,306,276.75 is: 20,344,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257,018 : 9,306,276.75 = 9,306,276.75 : x
  2. Step 2: Convert to fraction form
    4,257,018/9,306,276.75 = 9,306,276.75/x
  3. Step 3: Cross multiply
    4,257,018x = 9,306,276.75 × 9,306,276.75
  4. Step 4: Simplify right side
    4,257,018x = 86,606,786,947,590.56
  5. Step 5: Solve for x
    x = 86,606,786,947,590.56/4,257,018
  6. Step 6: Final answer
    x = 20,344,472.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.