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Finding the Third Proportional to 9,223,847 and 20,185,264

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Solution

The third proportional to 9,223,847 and 20,185,264 is: 44,172,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,847 : 20,185,264 = 20,185,264 : x
  2. Step 2: Convert to fraction form
    9,223,847/20,185,264 = 20,185,264/x
  3. Step 3: Cross multiply
    9,223,847x = 20,185,264 × 20,185,264
  4. Step 4: Simplify right side
    9,223,847x = 407,444,882,749,696
  5. Step 5: Solve for x
    x = 407,444,882,749,696/9,223,847
  6. Step 6: Final answer
    x = 44,172,987.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.