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Finding the Third Proportional to 3,129,747.19 and 6,595,745.63

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Solution

The third proportional to 3,129,747.19 and 6,595,745.63 is: 13,900,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,747.19 : 6,595,745.63 = 6,595,745.63 : x
  2. Step 2: Convert to fraction form
    3,129,747.19/6,595,745.63 = 6,595,745.63/x
  3. Step 3: Cross multiply
    3,129,747.19x = 6,595,745.63 × 6,595,745.63
  4. Step 4: Simplify right side
    3,129,747.19x = 43,503,860,349,706.64
  5. Step 5: Solve for x
    x = 43,503,860,349,706.64/3,129,747.19
  6. Step 6: Final answer
    x = 13,900,119.64

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.