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Finding the Third Proportional to 11,055,649.50 and 23,922,216

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Solution

The third proportional to 11,055,649.50 and 23,922,216 is: 51,762,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055,649.50 : 23,922,216 = 23,922,216 : x
  2. Step 2: Convert to fraction form
    11,055,649.50/23,922,216 = 23,922,216/x
  3. Step 3: Cross multiply
    11,055,649.50x = 23,922,216 × 23,922,216
  4. Step 4: Simplify right side
    11,055,649.50x = 572,272,418,350,656
  5. Step 5: Solve for x
    x = 572,272,418,350,656/11,055,649.50
  6. Step 6: Final answer
    x = 51,762,894.47

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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.