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Finding the Third Proportional to 8,137,132 and 17,406,782

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Solution

The third proportional to 8,137,132 and 17,406,782 is: 37,236,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,132 : 17,406,782 = 17,406,782 : x
  2. Step 2: Convert to fraction form
    8,137,132/17,406,782 = 17,406,782/x
  3. Step 3: Cross multiply
    8,137,132x = 17,406,782 × 17,406,782
  4. Step 4: Simplify right side
    8,137,132x = 302,996,059,595,524
  5. Step 5: Solve for x
    x = 302,996,059,595,524/8,137,132
  6. Step 6: Final answer
    x = 37,236,222.74

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Why These Related Problems?

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