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Finding the Third Proportional to 3,786,012 and 8,210,816

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Solution

The third proportional to 3,786,012 and 8,210,816 is: 17,806,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,012 : 8,210,816 = 8,210,816 : x
  2. Step 2: Convert to fraction form
    3,786,012/8,210,816 = 8,210,816/x
  3. Step 3: Cross multiply
    3,786,012x = 8,210,816 × 8,210,816
  4. Step 4: Simplify right side
    3,786,012x = 67,417,499,385,856
  5. Step 5: Solve for x
    x = 67,417,499,385,856/3,786,012
  6. Step 6: Final answer
    x = 17,806,995.70

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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.