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Finding the Third Proportional to 4,180,923 and 9,159,018

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Solution

The third proportional to 4,180,923 and 9,159,018 is: 20,064,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,923 : 9,159,018 = 9,159,018 : x
  2. Step 2: Convert to fraction form
    4,180,923/9,159,018 = 9,159,018/x
  3. Step 3: Cross multiply
    4,180,923x = 9,159,018 × 9,159,018
  4. Step 4: Simplify right side
    4,180,923x = 83,887,610,724,324
  5. Step 5: Solve for x
    x = 83,887,610,724,324/4,180,923
  6. Step 6: Final answer
    x = 20,064,375.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.