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Finding the Third Proportional to 5,144,392.41 and 10,972,019.81

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Solution

The third proportional to 5,144,392.41 and 10,972,019.81 is: 23,401,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,392.41 : 10,972,019.81 = 10,972,019.81 : x
  2. Step 2: Convert to fraction form
    5,144,392.41/10,972,019.81 = 10,972,019.81/x
  3. Step 3: Cross multiply
    5,144,392.41x = 10,972,019.81 × 10,972,019.81
  4. Step 4: Simplify right side
    5,144,392.41x = 120,385,218,765,892.53
  5. Step 5: Solve for x
    x = 120,385,218,765,892.53/5,144,392.41
  6. Step 6: Final answer
    x = 23,401,251.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.