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Finding the Third Proportional to 9,106,546.50 and 18,578,885.63

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Solution

The third proportional to 9,106,546.50 and 18,578,885.63 is: 37,904,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,546.50 : 18,578,885.63 = 18,578,885.63 : x
  2. Step 2: Convert to fraction form
    9,106,546.50/18,578,885.63 = 18,578,885.63/x
  3. Step 3: Cross multiply
    9,106,546.50x = 18,578,885.63 × 18,578,885.63
  4. Step 4: Simplify right side
    9,106,546.50x = 345,174,991,066,831.62
  5. Step 5: Solve for x
    x = 345,174,991,066,831.62/9,106,546.50
  6. Step 6: Final answer
    x = 37,904,049.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.