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Finding the Third Proportional to 4,540,704.75 and 6,746,338.13

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Solution

The third proportional to 4,540,704.75 and 6,746,338.13 is: 10,023,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,704.75 : 6,746,338.13 = 6,746,338.13 : x
  2. Step 2: Convert to fraction form
    4,540,704.75/6,746,338.13 = 6,746,338.13/x
  3. Step 3: Cross multiply
    4,540,704.75x = 6,746,338.13 × 6,746,338.13
  4. Step 4: Simplify right side
    4,540,704.75x = 45,513,078,096,828.52
  5. Step 5: Solve for x
    x = 45,513,078,096,828.52/4,540,704.75
  6. Step 6: Final answer
    x = 10,023,351.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.