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Finding the Third Proportional to 9,218,296 and 13,279,316

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Solution

The third proportional to 9,218,296 and 13,279,316 is: 19,129,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218,296 : 13,279,316 = 13,279,316 : x
  2. Step 2: Convert to fraction form
    9,218,296/13,279,316 = 13,279,316/x
  3. Step 3: Cross multiply
    9,218,296x = 13,279,316 × 13,279,316
  4. Step 4: Simplify right side
    9,218,296x = 176,340,233,427,856
  5. Step 5: Solve for x
    x = 176,340,233,427,856/9,218,296
  6. Step 6: Final answer
    x = 19,129,374.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.