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Finding the Third Proportional to 5,357,163 and 8,084,047.50

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Solution

The third proportional to 5,357,163 and 8,084,047.50 is: 12,198,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,163 : 8,084,047.50 = 8,084,047.50 : x
  2. Step 2: Convert to fraction form
    5,357,163/8,084,047.50 = 8,084,047.50/x
  3. Step 3: Cross multiply
    5,357,163x = 8,084,047.50 × 8,084,047.50
  4. Step 4: Simplify right side
    5,357,163x = 65,351,823,982,256.25
  5. Step 5: Solve for x
    x = 65,351,823,982,256.25/5,357,163
  6. Step 6: Final answer
    x = 12,198,961.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.