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Finding the Third Proportional to 9,435,220 and 14,138,014

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Solution

The third proportional to 9,435,220 and 14,138,014 is: 21,184,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,220 : 14,138,014 = 14,138,014 : x
  2. Step 2: Convert to fraction form
    9,435,220/14,138,014 = 14,138,014/x
  3. Step 3: Cross multiply
    9,435,220x = 14,138,014 × 14,138,014
  4. Step 4: Simplify right side
    9,435,220x = 199,883,439,864,196
  5. Step 5: Solve for x
    x = 199,883,439,864,196/9,435,220
  6. Step 6: Final answer
    x = 21,184,820.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.