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Finding the Third Proportional to 23,305,914 and 35,282,623.50

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Solution

The third proportional to 23,305,914 and 35,282,623.50 is: 53,414,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305,914 : 35,282,623.50 = 35,282,623.50 : x
  2. Step 2: Convert to fraction form
    23,305,914/35,282,623.50 = 35,282,623.50/x
  3. Step 3: Cross multiply
    23,305,914x = 35,282,623.50 × 35,282,623.50
  4. Step 4: Simplify right side
    23,305,914x = 1,244,863,521,042,752.25
  5. Step 5: Solve for x
    x = 1,244,863,521,042,752.25/23,305,914
  6. Step 6: Final answer
    x = 53,414,061.39

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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.