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Finding the Third Proportional to 7,955,771 and 17,072,840

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Solution

The third proportional to 7,955,771 and 17,072,840 is: 36,637,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955,771 : 17,072,840 = 17,072,840 : x
  2. Step 2: Convert to fraction form
    7,955,771/17,072,840 = 17,072,840/x
  3. Step 3: Cross multiply
    7,955,771x = 17,072,840 × 17,072,840
  4. Step 4: Simplify right side
    7,955,771x = 291,481,865,665,600
  5. Step 5: Solve for x
    x = 291,481,865,665,600/7,955,771
  6. Step 6: Final answer
    x = 36,637,789.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.