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Finding the Third Proportional to 36,828,324 and 51,206,854.50

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Solution

The third proportional to 36,828,324 and 51,206,854.50 is: 71,199,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828,324 : 51,206,854.50 = 51,206,854.50 : x
  2. Step 2: Convert to fraction form
    36,828,324/51,206,854.50 = 51,206,854.50/x
  3. Step 3: Cross multiply
    36,828,324x = 51,206,854.50 × 51,206,854.50
  4. Step 4: Simplify right side
    36,828,324x = 2,622,141,947,784,170
  5. Step 5: Solve for x
    x = 2,622,141,947,784,170/36,828,324
  6. Step 6: Final answer
    x = 71,199,057.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.