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Finding the Third Proportional to 6,151,744 and 13,461,504

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Solution

The third proportional to 6,151,744 and 13,461,504 is: 29,457,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,744 : 13,461,504 = 13,461,504 : x
  2. Step 2: Convert to fraction form
    6,151,744/13,461,504 = 13,461,504/x
  3. Step 3: Cross multiply
    6,151,744x = 13,461,504 × 13,461,504
  4. Step 4: Simplify right side
    6,151,744x = 181,212,089,942,016
  5. Step 5: Solve for x
    x = 181,212,089,942,016/6,151,744
  6. Step 6: Final answer
    x = 29,457,027.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.