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Finding the Third Proportional to 7,981,669.13 and 17,453,948.34

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Solution

The third proportional to 7,981,669.13 and 17,453,948.34 is: 38,167,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,669.13 : 17,453,948.34 = 17,453,948.34 : x
  2. Step 2: Convert to fraction form
    7,981,669.13/17,453,948.34 = 17,453,948.34/x
  3. Step 3: Cross multiply
    7,981,669.13x = 17,453,948.34 × 17,453,948.34
  4. Step 4: Simplify right side
    7,981,669.13x = 304,640,312,786,293.38
  5. Step 5: Solve for x
    x = 304,640,312,786,293.38/7,981,669.13
  6. Step 6: Final answer
    x = 38,167,494.54

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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.