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Finding the Third Proportional to 17,734,548 and 38,121,216

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Solution

The third proportional to 17,734,548 and 38,121,216 is: 81,943,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734,548 : 38,121,216 = 38,121,216 : x
  2. Step 2: Convert to fraction form
    17,734,548/38,121,216 = 38,121,216/x
  3. Step 3: Cross multiply
    17,734,548x = 38,121,216 × 38,121,216
  4. Step 4: Simplify right side
    17,734,548x = 1,453,227,109,318,656
  5. Step 5: Solve for x
    x = 1,453,227,109,318,656/17,734,548
  6. Step 6: Final answer
    x = 81,943,284.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.