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Finding the Third Proportional to 8,137,104 and 17,406,724.78

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Solution

The third proportional to 8,137,104 and 17,406,724.78 is: 37,236,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,104 : 17,406,724.78 = 17,406,724.78 : x
  2. Step 2: Convert to fraction form
    8,137,104/17,406,724.78 = 17,406,724.78/x
  3. Step 3: Cross multiply
    8,137,104x = 17,406,724.78 × 17,406,724.78
  4. Step 4: Simplify right side
    8,137,104x = 302,994,067,610,182.88
  5. Step 5: Solve for x
    x = 302,994,067,610,182.88/8,137,104
  6. Step 6: Final answer
    x = 37,236,106.07

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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.