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Finding the Third Proportional to 9,839,524.31 and 20,307,825.56

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Solution

The third proportional to 9,839,524.31 and 20,307,825.56 is: 41,913,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839,524.31 : 20,307,825.56 = 20,307,825.56 : x
  2. Step 2: Convert to fraction form
    9,839,524.31/20,307,825.56 = 20,307,825.56/x
  3. Step 3: Cross multiply
    9,839,524.31x = 20,307,825.56 × 20,307,825.56
  4. Step 4: Simplify right side
    9,839,524.31x = 412,407,779,076,928.44
  5. Step 5: Solve for x
    x = 412,407,779,076,928.44/9,839,524.31
  6. Step 6: Final answer
    x = 41,913,385.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.