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Finding the Third Proportional to 9,603,807 and 14,649,615

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Solution

The third proportional to 9,603,807 and 14,649,615 is: 22,346,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603,807 : 14,649,615 = 14,649,615 : x
  2. Step 2: Convert to fraction form
    9,603,807/14,649,615 = 14,649,615/x
  3. Step 3: Cross multiply
    9,603,807x = 14,649,615 × 14,649,615
  4. Step 4: Simplify right side
    9,603,807x = 214,611,219,648,225
  5. Step 5: Solve for x
    x = 214,611,219,648,225/9,603,807
  6. Step 6: Final answer
    x = 22,346,473.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.