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Finding the Third Proportional to 9,864,093 and 21,613,866

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Solution

The third proportional to 9,864,093 and 21,613,866 is: 47,359,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864,093 : 21,613,866 = 21,613,866 : x
  2. Step 2: Convert to fraction form
    9,864,093/21,613,866 = 21,613,866/x
  3. Step 3: Cross multiply
    9,864,093x = 21,613,866 × 21,613,866
  4. Step 4: Simplify right side
    9,864,093x = 467,159,203,465,956
  5. Step 5: Solve for x
    x = 467,159,203,465,956/9,864,093
  6. Step 6: Final answer
    x = 47,359,570.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.