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Finding the Third Proportional to 9,741,034.69 and 21,142,002.38

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Solution

The third proportional to 9,741,034.69 and 21,142,002.38 is: 45,886,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741,034.69 : 21,142,002.38 = 21,142,002.38 : x
  2. Step 2: Convert to fraction form
    9,741,034.69/21,142,002.38 = 21,142,002.38/x
  3. Step 3: Cross multiply
    9,741,034.69x = 21,142,002.38 × 21,142,002.38
  4. Step 4: Simplify right side
    9,741,034.69x = 446,984,264,424,505.62
  5. Step 5: Solve for x
    x = 446,984,264,424,505.62/9,741,034.69
  6. Step 6: Final answer
    x = 45,886,733.68

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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.