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Finding the Third Proportional to 11,355,324.19 and 24,909,049.13

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Solution

The third proportional to 11,355,324.19 and 24,909,049.13 is: 54,640,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355,324.19 : 24,909,049.13 = 24,909,049.13 : x
  2. Step 2: Convert to fraction form
    11,355,324.19/24,909,049.13 = 24,909,049.13/x
  3. Step 3: Cross multiply
    11,355,324.19x = 24,909,049.13 × 24,909,049.13
  4. Step 4: Simplify right side
    11,355,324.19x = 620,460,728,311,663.25
  5. Step 5: Solve for x
    x = 620,460,728,311,663.25/11,355,324.19
  6. Step 6: Final answer
    x = 54,640,512.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.