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Finding the Third Proportional to 36,828,320 and 51,206,847.50

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Solution

The third proportional to 36,828,320 and 51,206,847.50 is: 71,199,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828,320 : 51,206,847.50 = 51,206,847.50 : x
  2. Step 2: Convert to fraction form
    36,828,320/51,206,847.50 = 51,206,847.50/x
  3. Step 3: Cross multiply
    36,828,320x = 51,206,847.50 × 51,206,847.50
  4. Step 4: Simplify right side
    36,828,320x = 2,622,141,230,888,256
  5. Step 5: Solve for x
    x = 2,622,141,230,888,256/36,828,320
  6. Step 6: Final answer
    x = 71,199,045.49

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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.