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Finding the Third Proportional to 10,485,920.81 and 22,786,912.41

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Solution

The third proportional to 10,485,920.81 and 22,786,912.41 is: 49,518,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,920.81 : 22,786,912.41 = 22,786,912.41 : x
  2. Step 2: Convert to fraction form
    10,485,920.81/22,786,912.41 = 22,786,912.41/x
  3. Step 3: Cross multiply
    10,485,920.81x = 22,786,912.41 × 22,786,912.41
  4. Step 4: Simplify right side
    10,485,920.81x = 519,243,377,010,110.19
  5. Step 5: Solve for x
    x = 519,243,377,010,110.19/10,485,920.81
  6. Step 6: Final answer
    x = 49,518,147.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.