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Finding the Third Proportional to 5,301,994.50 and 11,548,743

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Solution

The third proportional to 5,301,994.50 and 11,548,743 is: 25,155,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,994.50 : 11,548,743 = 11,548,743 : x
  2. Step 2: Convert to fraction form
    5,301,994.50/11,548,743 = 11,548,743/x
  3. Step 3: Cross multiply
    5,301,994.50x = 11,548,743 × 11,548,743
  4. Step 4: Simplify right side
    5,301,994.50x = 133,373,464,880,049
  5. Step 5: Solve for x
    x = 133,373,464,880,049/5,301,994.50
  6. Step 6: Final answer
    x = 25,155,338.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.