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Finding the Third Proportional to 5,822,284 and 12,634,186

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Solution

The third proportional to 5,822,284 and 12,634,186 is: 27,415,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822,284 : 12,634,186 = 12,634,186 : x
  2. Step 2: Convert to fraction form
    5,822,284/12,634,186 = 12,634,186/x
  3. Step 3: Cross multiply
    5,822,284x = 12,634,186 × 12,634,186
  4. Step 4: Simplify right side
    5,822,284x = 159,622,655,882,596
  5. Step 5: Solve for x
    x = 159,622,655,882,596/5,822,284
  6. Step 6: Final answer
    x = 27,415,814.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.