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Finding the Third Proportional to 33,846,048.50 and 51,562,656.75

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Solution

The third proportional to 33,846,048.50 and 51,562,656.75 is: 78,552,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846,048.50 : 51,562,656.75 = 51,562,656.75 : x
  2. Step 2: Convert to fraction form
    33,846,048.50/51,562,656.75 = 51,562,656.75/x
  3. Step 3: Cross multiply
    33,846,048.50x = 51,562,656.75 × 51,562,656.75
  4. Step 4: Simplify right side
    33,846,048.50x = 2,658,707,571,118,320.50
  5. Step 5: Solve for x
    x = 2,658,707,571,118,320.50/33,846,048.50
  6. Step 6: Final answer
    x = 78,552,968.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.