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Finding the Third Proportional to 34,293,916 and 73,972,208

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Solution

The third proportional to 34,293,916 and 73,972,208 is: 159,558,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293,916 : 73,972,208 = 73,972,208 : x
  2. Step 2: Convert to fraction form
    34,293,916/73,972,208 = 73,972,208/x
  3. Step 3: Cross multiply
    34,293,916x = 73,972,208 × 73,972,208
  4. Step 4: Simplify right side
    34,293,916x = 5,471,887,556,395,264
  5. Step 5: Solve for x
    x = 5,471,887,556,395,264/34,293,916
  6. Step 6: Final answer
    x = 159,558,551.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.