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Finding the Third Proportional to 15,758,997 and 34,507,356

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Solution

The third proportional to 15,758,997 and 34,507,356 is: 75,560,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758,997 : 34,507,356 = 34,507,356 : x
  2. Step 2: Convert to fraction form
    15,758,997/34,507,356 = 34,507,356/x
  3. Step 3: Cross multiply
    15,758,997x = 34,507,356 × 34,507,356
  4. Step 4: Simplify right side
    15,758,997x = 1,190,757,618,110,736
  5. Step 5: Solve for x
    x = 1,190,757,618,110,736/15,758,997
  6. Step 6: Final answer
    x = 75,560,495.26

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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.