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Finding the Third Proportional to 3,669,625.50 and 5,668,058.25

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Solution

The third proportional to 3,669,625.50 and 5,668,058.25 is: 8,754,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,625.50 : 5,668,058.25 = 5,668,058.25 : x
  2. Step 2: Convert to fraction form
    3,669,625.50/5,668,058.25 = 5,668,058.25/x
  3. Step 3: Cross multiply
    3,669,625.50x = 5,668,058.25 × 5,668,058.25
  4. Step 4: Simplify right side
    3,669,625.50x = 32,126,884,325,393.06
  5. Step 5: Solve for x
    x = 32,126,884,325,393.06/3,669,625.50
  6. Step 6: Final answer
    x = 8,754,812.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.