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Finding the Third Proportional to 7,709,295 and 17,141,895

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Solution

The third proportional to 7,709,295 and 17,141,895 is: 38,115,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,295 : 17,141,895 = 17,141,895 : x
  2. Step 2: Convert to fraction form
    7,709,295/17,141,895 = 17,141,895/x
  3. Step 3: Cross multiply
    7,709,295x = 17,141,895 × 17,141,895
  4. Step 4: Simplify right side
    7,709,295x = 293,844,564,191,025
  5. Step 5: Solve for x
    x = 293,844,564,191,025/7,709,295
  6. Step 6: Final answer
    x = 38,115,620.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.