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Finding the Third Proportional to 5,223,778.50 and 10,976,323.50

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Solution

The third proportional to 5,223,778.50 and 10,976,323.50 is: 23,063,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,778.50 : 10,976,323.50 = 10,976,323.50 : x
  2. Step 2: Convert to fraction form
    5,223,778.50/10,976,323.50 = 10,976,323.50/x
  3. Step 3: Cross multiply
    5,223,778.50x = 10,976,323.50 × 10,976,323.50
  4. Step 4: Simplify right side
    5,223,778.50x = 120,479,677,576,652.25
  5. Step 5: Solve for x
    x = 120,479,677,576,652.25/5,223,778.50
  6. Step 6: Final answer
    x = 23,063,703.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.