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Finding the Third Proportional to 7,413,126 and 16,243,422

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Solution

The third proportional to 7,413,126 and 16,243,422 is: 35,592,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,126 : 16,243,422 = 16,243,422 : x
  2. Step 2: Convert to fraction form
    7,413,126/16,243,422 = 16,243,422/x
  3. Step 3: Cross multiply
    7,413,126x = 16,243,422 × 16,243,422
  4. Step 4: Simplify right side
    7,413,126x = 263,848,758,270,084
  5. Step 5: Solve for x
    x = 263,848,758,270,084/7,413,126
  6. Step 6: Final answer
    x = 35,592,104.91

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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.