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Finding the Third Proportional to 9,155,025 and 14,163,018.75

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Solution

The third proportional to 9,155,025 and 14,163,018.75 is: 21,910,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155,025 : 14,163,018.75 = 14,163,018.75 : x
  2. Step 2: Convert to fraction form
    9,155,025/14,163,018.75 = 14,163,018.75/x
  3. Step 3: Cross multiply
    9,155,025x = 14,163,018.75 × 14,163,018.75
  4. Step 4: Simplify right side
    9,155,025x = 200,591,100,112,851.56
  5. Step 5: Solve for x
    x = 200,591,100,112,851.56/9,155,025
  6. Step 6: Final answer
    x = 21,910,491.79

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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.