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Finding the Third Proportional to 7,881,184 and 17,019,744

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Solution

The third proportional to 7,881,184 and 17,019,744 is: 36,754,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,184 : 17,019,744 = 17,019,744 : x
  2. Step 2: Convert to fraction form
    7,881,184/17,019,744 = 17,019,744/x
  3. Step 3: Cross multiply
    7,881,184x = 17,019,744 × 17,019,744
  4. Step 4: Simplify right side
    7,881,184x = 289,671,685,825,536
  5. Step 5: Solve for x
    x = 289,671,685,825,536/7,881,184
  6. Step 6: Final answer
    x = 36,754,843.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.