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Finding the Third Proportional to 8,078,853 and 17,677,914

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Solution

The third proportional to 8,078,853 and 17,677,914 is: 38,682,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,853 : 17,677,914 = 17,677,914 : x
  2. Step 2: Convert to fraction form
    8,078,853/17,677,914 = 17,677,914/x
  3. Step 3: Cross multiply
    8,078,853x = 17,677,914 × 17,677,914
  4. Step 4: Simplify right side
    8,078,853x = 312,508,643,391,396
  5. Step 5: Solve for x
    x = 312,508,643,391,396/8,078,853
  6. Step 6: Final answer
    x = 38,682,303.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.