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Finding the Third Proportional to 11,041,116 and 24,026,232

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Solution

The third proportional to 11,041,116 and 24,026,232 is: 52,282,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041,116 : 24,026,232 = 24,026,232 : x
  2. Step 2: Convert to fraction form
    11,041,116/24,026,232 = 24,026,232/x
  3. Step 3: Cross multiply
    11,041,116x = 24,026,232 × 24,026,232
  4. Step 4: Simplify right side
    11,041,116x = 577,259,824,117,824
  5. Step 5: Solve for x
    x = 577,259,824,117,824/11,041,116
  6. Step 6: Final answer
    x = 52,282,742.44

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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.