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Finding the Third Proportional to 9,843,950 and 14,180,595

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Solution

The third proportional to 9,843,950 and 14,180,595 is: 20,427,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,950 : 14,180,595 = 14,180,595 : x
  2. Step 2: Convert to fraction form
    9,843,950/14,180,595 = 14,180,595/x
  3. Step 3: Cross multiply
    9,843,950x = 14,180,595 × 14,180,595
  4. Step 4: Simplify right side
    9,843,950x = 201,089,274,554,025
  5. Step 5: Solve for x
    x = 201,089,274,554,025/9,843,950
  6. Step 6: Final answer
    x = 20,427,701.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.