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Finding the Third Proportional to 6,413,514.75 and 13,835,935.13

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Solution

The third proportional to 6,413,514.75 and 13,835,935.13 is: 29,848,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,514.75 : 13,835,935.13 = 13,835,935.13 : x
  2. Step 2: Convert to fraction form
    6,413,514.75/13,835,935.13 = 13,835,935.13/x
  3. Step 3: Cross multiply
    6,413,514.75x = 13,835,935.13 × 13,835,935.13
  4. Step 4: Simplify right side
    6,413,514.75x = 191,433,100,783,208.75
  5. Step 5: Solve for x
    x = 191,433,100,783,208.75/6,413,514.75
  6. Step 6: Final answer
    x = 29,848,391.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.