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Finding the Third Proportional to 11,055,664 and 23,922,243.50

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Solution

The third proportional to 11,055,664 and 23,922,243.50 is: 51,762,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055,664 : 23,922,243.50 = 23,922,243.50 : x
  2. Step 2: Convert to fraction form
    11,055,664/23,922,243.50 = 23,922,243.50/x
  3. Step 3: Cross multiply
    11,055,664x = 23,922,243.50 × 23,922,243.50
  4. Step 4: Simplify right side
    11,055,664x = 572,273,734,073,292.25
  5. Step 5: Solve for x
    x = 572,273,734,073,292.25/11,055,664
  6. Step 6: Final answer
    x = 51,762,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.