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Finding the Third Proportional to 17,873,196.75 and 38,186,316

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Solution

The third proportional to 17,873,196.75 and 38,186,316 is: 81,585,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873,196.75 : 38,186,316 = 38,186,316 : x
  2. Step 2: Convert to fraction form
    17,873,196.75/38,186,316 = 38,186,316/x
  3. Step 3: Cross multiply
    17,873,196.75x = 38,186,316 × 38,186,316
  4. Step 4: Simplify right side
    17,873,196.75x = 1,458,194,729,651,856
  5. Step 5: Solve for x
    x = 1,458,194,729,651,856/17,873,196.75
  6. Step 6: Final answer
    x = 81,585,557.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.