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Finding the Third Proportional to 35,179,968 and 53,816,184

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Solution

The third proportional to 35,179,968 and 53,816,184 is: 82,324,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,179,968 : 53,816,184 = 53,816,184 : x
  2. Step 2: Convert to fraction form
    35,179,968/53,816,184 = 53,816,184/x
  3. Step 3: Cross multiply
    35,179,968x = 53,816,184 × 53,816,184
  4. Step 4: Simplify right side
    35,179,968x = 2,896,181,660,321,856
  5. Step 5: Solve for x
    x = 2,896,181,660,321,856/35,179,968
  6. Step 6: Final answer
    x = 82,324,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.