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Finding the Third Proportional to 13,916,114 and 19,596,923

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Solution

The third proportional to 13,916,114 and 19,596,923 is: 27,596,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916,114 : 19,596,923 = 19,596,923 : x
  2. Step 2: Convert to fraction form
    13,916,114/19,596,923 = 19,596,923/x
  3. Step 3: Cross multiply
    13,916,114x = 19,596,923 × 19,596,923
  4. Step 4: Simplify right side
    13,916,114x = 384,039,391,067,929
  5. Step 5: Solve for x
    x = 384,039,391,067,929/13,916,114
  6. Step 6: Final answer
    x = 27,596,740.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.