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Finding the Third Proportional to 9,945,282 and 14,037,697

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Solution

The third proportional to 9,945,282 and 14,037,697 is: 19,814,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,282 : 14,037,697 = 14,037,697 : x
  2. Step 2: Convert to fraction form
    9,945,282/14,037,697 = 14,037,697/x
  3. Step 3: Cross multiply
    9,945,282x = 14,037,697 × 14,037,697
  4. Step 4: Simplify right side
    9,945,282x = 197,056,937,063,809
  5. Step 5: Solve for x
    x = 197,056,937,063,809/9,945,282
  6. Step 6: Final answer
    x = 19,814,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.