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Finding the Third Proportional to 10,903,281.75 and 23,787,029.25

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Solution

The third proportional to 10,903,281.75 and 23,787,029.25 is: 51,894,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,281.75 : 23,787,029.25 = 23,787,029.25 : x
  2. Step 2: Convert to fraction form
    10,903,281.75/23,787,029.25 = 23,787,029.25/x
  3. Step 3: Cross multiply
    10,903,281.75x = 23,787,029.25 × 23,787,029.25
  4. Step 4: Simplify right side
    10,903,281.75x = 565,822,760,540,355.50
  5. Step 5: Solve for x
    x = 565,822,760,540,355.50/10,903,281.75
  6. Step 6: Final answer
    x = 51,894,720.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.