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Finding the Third Proportional to 4,787,948.25 and 7,622,255.25

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Solution

The third proportional to 4,787,948.25 and 7,622,255.25 is: 12,134,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,948.25 : 7,622,255.25 = 7,622,255.25 : x
  2. Step 2: Convert to fraction form
    4,787,948.25/7,622,255.25 = 7,622,255.25/x
  3. Step 3: Cross multiply
    4,787,948.25x = 7,622,255.25 × 7,622,255.25
  4. Step 4: Simplify right side
    4,787,948.25x = 58,098,775,096,152.56
  5. Step 5: Solve for x
    x = 58,098,775,096,152.56/4,787,948.25
  6. Step 6: Final answer
    x = 12,134,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.