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Finding the Third Proportional to 8,286,810 and 17,724,684

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Solution

The third proportional to 8,286,810 and 17,724,684 is: 37,911,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,810 : 17,724,684 = 17,724,684 : x
  2. Step 2: Convert to fraction form
    8,286,810/17,724,684 = 17,724,684/x
  3. Step 3: Cross multiply
    8,286,810x = 17,724,684 × 17,724,684
  4. Step 4: Simplify right side
    8,286,810x = 314,164,422,899,856
  5. Step 5: Solve for x
    x = 314,164,422,899,856/8,286,810
  6. Step 6: Final answer
    x = 37,911,382.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.