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Finding the Third Proportional to 9,843,944 and 14,180,586

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Solution

The third proportional to 9,843,944 and 14,180,586 is: 20,427,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,944 : 14,180,586 = 14,180,586 : x
  2. Step 2: Convert to fraction form
    9,843,944/14,180,586 = 14,180,586/x
  3. Step 3: Cross multiply
    9,843,944x = 14,180,586 × 14,180,586
  4. Step 4: Simplify right side
    9,843,944x = 201,089,019,303,396
  5. Step 5: Solve for x
    x = 201,089,019,303,396/9,843,944
  6. Step 6: Final answer
    x = 20,427,688.26

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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.