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Finding the Third Proportional to 3,095,965.13 and 4,552,947.75

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Solution

The third proportional to 3,095,965.13 and 4,552,947.75 is: 6,695,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,965.13 : 4,552,947.75 = 4,552,947.75 : x
  2. Step 2: Convert to fraction form
    3,095,965.13/4,552,947.75 = 4,552,947.75/x
  3. Step 3: Cross multiply
    3,095,965.13x = 4,552,947.75 × 4,552,947.75
  4. Step 4: Simplify right side
    3,095,965.13x = 20,729,333,214,230.06
  5. Step 5: Solve for x
    x = 20,729,333,214,230.06/3,095,965.13
  6. Step 6: Final answer
    x = 6,695,596.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.