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Finding the Third Proportional to 9,843,948 and 14,180,592

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Solution

The third proportional to 9,843,948 and 14,180,592 is: 20,427,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,948 : 14,180,592 = 14,180,592 : x
  2. Step 2: Convert to fraction form
    9,843,948/14,180,592 = 14,180,592/x
  3. Step 3: Cross multiply
    9,843,948x = 14,180,592 × 14,180,592
  4. Step 4: Simplify right side
    9,843,948x = 201,089,189,470,464
  5. Step 5: Solve for x
    x = 201,089,189,470,464/9,843,948
  6. Step 6: Final answer
    x = 20,427,697.25

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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.