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Finding the Third Proportional to 7,876,688 and 17,211,296

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Solution

The third proportional to 7,876,688 and 17,211,296 is: 37,608,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,688 : 17,211,296 = 17,211,296 : x
  2. Step 2: Convert to fraction form
    7,876,688/17,211,296 = 17,211,296/x
  3. Step 3: Cross multiply
    7,876,688x = 17,211,296 × 17,211,296
  4. Step 4: Simplify right side
    7,876,688x = 296,228,709,999,616
  5. Step 5: Solve for x
    x = 296,228,709,999,616/7,876,688
  6. Step 6: Final answer
    x = 37,608,282.82

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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.