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Finding the Third Proportional to 19,329,715,713 and 41,613,613,832

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Solution

The third proportional to 19,329,715,713 and 41,613,613,832 is: 89,587,083,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329,715,713 : 41,613,613,832 = 41,613,613,832 : x
  2. Step 2: Convert to fraction form
    19,329,715,713/41,613,613,832 = 41,613,613,832/x
  3. Step 3: Cross multiply
    19,329,715,713x = 41,613,613,832 × 41,613,613,832
  4. Step 4: Simplify right side
    19,329,715,713x = 1,731,692,856,158,821,810,176
  5. Step 5: Solve for x
    x = 1,731,692,856,158,821,810,176/19,329,715,713
  6. Step 6: Final answer
    x = 89,587,083,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.