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Finding the Third Proportional to 10,385,313.75 and 22,599,324

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Solution

The third proportional to 10,385,313.75 and 22,599,324 is: 49,178,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,313.75 : 22,599,324 = 22,599,324 : x
  2. Step 2: Convert to fraction form
    10,385,313.75/22,599,324 = 22,599,324/x
  3. Step 3: Cross multiply
    10,385,313.75x = 22,599,324 × 22,599,324
  4. Step 4: Simplify right side
    10,385,313.75x = 510,729,445,256,976
  5. Step 5: Solve for x
    x = 510,729,445,256,976/10,385,313.75
  6. Step 6: Final answer
    x = 49,178,046.76

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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.