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Finding the Third Proportional to 4,785,061.50 and 10,500,147.50

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Solution

The third proportional to 4,785,061.50 and 10,500,147.50 is: 23,041,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,061.50 : 10,500,147.50 = 10,500,147.50 : x
  2. Step 2: Convert to fraction form
    4,785,061.50/10,500,147.50 = 10,500,147.50/x
  3. Step 3: Cross multiply
    4,785,061.50x = 10,500,147.50 × 10,500,147.50
  4. Step 4: Simplify right side
    4,785,061.50x = 110,253,097,521,756.25
  5. Step 5: Solve for x
    x = 110,253,097,521,756.25/4,785,061.50
  6. Step 6: Final answer
    x = 23,041,103.55

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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.