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Finding the Third Proportional to 9,661,248 and 19,741,968

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Solution

The third proportional to 9,661,248 and 19,741,968 is: 40,341,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661,248 : 19,741,968 = 19,741,968 : x
  2. Step 2: Convert to fraction form
    9,661,248/19,741,968 = 19,741,968/x
  3. Step 3: Cross multiply
    9,661,248x = 19,741,968 × 19,741,968
  4. Step 4: Simplify right side
    9,661,248x = 389,745,300,513,024
  5. Step 5: Solve for x
    x = 389,745,300,513,024/9,661,248
  6. Step 6: Final answer
    x = 40,341,092.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.