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Finding the Third Proportional to 3,786,049 and 8,210,891

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Solution

The third proportional to 3,786,049 and 8,210,891 is: 17,807,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,049 : 8,210,891 = 8,210,891 : x
  2. Step 2: Convert to fraction form
    3,786,049/8,210,891 = 8,210,891/x
  3. Step 3: Cross multiply
    3,786,049x = 8,210,891 × 8,210,891
  4. Step 4: Simplify right side
    3,786,049x = 67,418,731,013,881
  5. Step 5: Solve for x
    x = 67,418,731,013,881/3,786,049
  6. Step 6: Final answer
    x = 17,807,146.98

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