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Finding the Third Proportional to 17,754,254 and 38,205,080

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Solution

The third proportional to 17,754,254 and 38,205,080 is: 82,212,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,254 : 38,205,080 = 38,205,080 : x
  2. Step 2: Convert to fraction form
    17,754,254/38,205,080 = 38,205,080/x
  3. Step 3: Cross multiply
    17,754,254x = 38,205,080 × 38,205,080
  4. Step 4: Simplify right side
    17,754,254x = 1,459,628,137,806,400
  5. Step 5: Solve for x
    x = 1,459,628,137,806,400/17,754,254
  6. Step 6: Final answer
    x = 82,212,867.85

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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.