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Finding the Third Proportional to 38,131,595.44 and 83,393,357.63

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Solution

The third proportional to 38,131,595.44 and 83,393,357.63 is: 182,380,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,131,595.44 : 83,393,357.63 = 83,393,357.63 : x
  2. Step 2: Convert to fraction form
    38,131,595.44/83,393,357.63 = 83,393,357.63/x
  3. Step 3: Cross multiply
    38,131,595.44x = 83,393,357.63 × 83,393,357.63
  4. Step 4: Simplify right side
    38,131,595.44x = 6,954,452,095,971,146
  5. Step 5: Solve for x
    x = 6,954,452,095,971,146/38,131,595.44
  6. Step 6: Final answer
    x = 182,380,307.36

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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.