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Finding the Third Proportional to 8,501,010,196 and 13,334,368,296

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Solution

The third proportional to 8,501,010,196 and 13,334,368,296 is: 20,915,793,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501,010,196 : 13,334,368,296 = 13,334,368,296 : x
  2. Step 2: Convert to fraction form
    8,501,010,196/13,334,368,296 = 13,334,368,296/x
  3. Step 3: Cross multiply
    8,501,010,196x = 13,334,368,296 × 13,334,368,296
  4. Step 4: Simplify right side
    8,501,010,196x = 177,805,377,853,369,942,016
  5. Step 5: Solve for x
    x = 177,805,377,853,369,942,016/8,501,010,196
  6. Step 6: Final answer
    x = 20,915,793,976.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.