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Finding the Third Proportional to 4,704,758 and 10,206,124

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Solution

The third proportional to 4,704,758 and 10,206,124 is: 22,140,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,758 : 10,206,124 = 10,206,124 : x
  2. Step 2: Convert to fraction form
    4,704,758/10,206,124 = 10,206,124/x
  3. Step 3: Cross multiply
    4,704,758x = 10,206,124 × 10,206,124
  4. Step 4: Simplify right side
    4,704,758x = 104,164,967,103,376
  5. Step 5: Solve for x
    x = 104,164,967,103,376/4,704,758
  6. Step 6: Final answer
    x = 22,140,345.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.