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Finding the Third Proportional to 2,263,150.97 and 4,849,892.72

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Solution

The third proportional to 2,263,150.97 and 4,849,892.72 is: 10,393,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263,150.97 : 4,849,892.72 = 4,849,892.72 : x
  2. Step 2: Convert to fraction form
    2,263,150.97/4,849,892.72 = 4,849,892.72/x
  3. Step 3: Cross multiply
    2,263,150.97x = 4,849,892.72 × 4,849,892.72
  4. Step 4: Simplify right side
    2,263,150.97x = 23,521,459,383,384.27
  5. Step 5: Solve for x
    x = 23,521,459,383,384.27/2,263,150.97
  6. Step 6: Final answer
    x = 10,393,234.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.