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Finding the Third Proportional to 38,202,556.50 and 82,455,030

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Solution

The third proportional to 38,202,556.50 and 82,455,030 is: 177,967,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,556.50 : 82,455,030 = 82,455,030 : x
  2. Step 2: Convert to fraction form
    38,202,556.50/82,455,030 = 82,455,030/x
  3. Step 3: Cross multiply
    38,202,556.50x = 82,455,030 × 82,455,030
  4. Step 4: Simplify right side
    38,202,556.50x = 6,798,831,972,300,900
  5. Step 5: Solve for x
    x = 6,798,831,972,300,900/38,202,556.50
  6. Step 6: Final answer
    x = 177,967,984.22

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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.