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Finding the Third Proportional to 6,295,801 and 13,766,030

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Solution

The third proportional to 6,295,801 and 13,766,030 is: 30,099,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295,801 : 13,766,030 = 13,766,030 : x
  2. Step 2: Convert to fraction form
    6,295,801/13,766,030 = 13,766,030/x
  3. Step 3: Cross multiply
    6,295,801x = 13,766,030 × 13,766,030
  4. Step 4: Simplify right side
    6,295,801x = 189,503,581,960,900
  5. Step 5: Solve for x
    x = 189,503,581,960,900/6,295,801
  6. Step 6: Final answer
    x = 30,099,995.53

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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.