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Finding the Third Proportional to 7,111,390 and 11,296,941

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Solution

The third proportional to 7,111,390 and 11,296,941 is: 17,945,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111,390 : 11,296,941 = 11,296,941 : x
  2. Step 2: Convert to fraction form
    7,111,390/11,296,941 = 11,296,941/x
  3. Step 3: Cross multiply
    7,111,390x = 11,296,941 × 11,296,941
  4. Step 4: Simplify right side
    7,111,390x = 127,620,875,957,481
  5. Step 5: Solve for x
    x = 127,620,875,957,481/7,111,390
  6. Step 6: Final answer
    x = 17,945,981.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.