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Finding the Third Proportional to 4,880,324.25 and 7,565,862.38

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Solution

The third proportional to 4,880,324.25 and 7,565,862.38 is: 11,729,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880,324.25 : 7,565,862.38 = 7,565,862.38 : x
  2. Step 2: Convert to fraction form
    4,880,324.25/7,565,862.38 = 7,565,862.38/x
  3. Step 3: Cross multiply
    4,880,324.25x = 7,565,862.38 × 7,565,862.38
  4. Step 4: Simplify right side
    4,880,324.25x = 57,242,273,477,440.64
  5. Step 5: Solve for x
    x = 57,242,273,477,440.64/4,880,324.25
  6. Step 6: Final answer
    x = 11,729,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.