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Finding the Third Proportional to 17,653,312.13 and 38,093,401.41

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Solution

The third proportional to 17,653,312.13 and 38,093,401.41 is: 82,200,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,312.13 : 38,093,401.41 = 38,093,401.41 : x
  2. Step 2: Convert to fraction form
    17,653,312.13/38,093,401.41 = 38,093,401.41/x
  3. Step 3: Cross multiply
    17,653,312.13x = 38,093,401.41 × 38,093,401.41
  4. Step 4: Simplify right side
    17,653,312.13x = 1,451,107,230,697,689.50
  5. Step 5: Solve for x
    x = 1,451,107,230,697,689.50/17,653,312.13
  6. Step 6: Final answer
    x = 82,200,281.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.