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Finding the Third Proportional to 6,059,196.75 and 13,277,205.75

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Solution

The third proportional to 6,059,196.75 and 13,277,205.75 is: 29,093,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,196.75 : 13,277,205.75 = 13,277,205.75 : x
  2. Step 2: Convert to fraction form
    6,059,196.75/13,277,205.75 = 13,277,205.75/x
  3. Step 3: Cross multiply
    6,059,196.75x = 13,277,205.75 × 13,277,205.75
  4. Step 4: Simplify right side
    6,059,196.75x = 176,284,192,527,833.06
  5. Step 5: Solve for x
    x = 176,284,192,527,833.06/6,059,196.75
  6. Step 6: Final answer
    x = 29,093,657.10

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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.