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Finding the Third Proportional to 5,224,815 and 11,321,524.13

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Solution

The third proportional to 5,224,815 and 11,321,524.13 is: 24,532,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,815 : 11,321,524.13 = 11,321,524.13 : x
  2. Step 2: Convert to fraction form
    5,224,815/11,321,524.13 = 11,321,524.13/x
  3. Step 3: Cross multiply
    5,224,815x = 11,321,524.13 × 11,321,524.13
  4. Step 4: Simplify right side
    5,224,815x = 128,176,908,512,957.02
  5. Step 5: Solve for x
    x = 128,176,908,512,957.02/5,224,815
  6. Step 6: Final answer
    x = 24,532,334.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.