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Finding the Third Proportional to 14,332,509 and 31,184,349

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Solution

The third proportional to 14,332,509 and 31,184,349 is: 67,850,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,509 : 31,184,349 = 31,184,349 : x
  2. Step 2: Convert to fraction form
    14,332,509/31,184,349 = 31,184,349/x
  3. Step 3: Cross multiply
    14,332,509x = 31,184,349 × 31,184,349
  4. Step 4: Simplify right side
    14,332,509x = 972,463,622,553,801
  5. Step 5: Solve for x
    x = 972,463,622,553,801/14,332,509
  6. Step 6: Final answer
    x = 67,850,201.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.