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Finding the Third Proportional to 8,524,964 and 18,265,900

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Solution

The third proportional to 8,524,964 and 18,265,900 is: 39,137,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524,964 : 18,265,900 = 18,265,900 : x
  2. Step 2: Convert to fraction form
    8,524,964/18,265,900 = 18,265,900/x
  3. Step 3: Cross multiply
    8,524,964x = 18,265,900 × 18,265,900
  4. Step 4: Simplify right side
    8,524,964x = 333,643,102,810,000
  5. Step 5: Solve for x
    x = 333,643,102,810,000/8,524,964
  6. Step 6: Final answer
    x = 39,137,186.13

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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.