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Finding the Third Proportional to 17,760,154,827.38 and 39,491,200,478.25

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Solution

The third proportional to 17,760,154,827.38 and 39,491,200,478.25 is: 87,812,011,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760,154,827.38 : 39,491,200,478.25 = 39,491,200,478.25 : x
  2. Step 2: Convert to fraction form
    17,760,154,827.38/39,491,200,478.25 = 39,491,200,478.25/x
  3. Step 3: Cross multiply
    17,760,154,827.38x = 39,491,200,478.25 × 39,491,200,478.25
  4. Step 4: Simplify right side
    17,760,154,827.38x = 1,559,554,915,213,332,971,520
  5. Step 5: Solve for x
    x = 1,559,554,915,213,332,971,520/17,760,154,827.38
  6. Step 6: Final answer
    x = 87,812,011,233.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.