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Finding the Third Proportional to 7,468,119 and 11,270,856.38

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Solution

The third proportional to 7,468,119 and 11,270,856.38 is: 17,009,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468,119 : 11,270,856.38 = 11,270,856.38 : x
  2. Step 2: Convert to fraction form
    7,468,119/11,270,856.38 = 11,270,856.38/x
  3. Step 3: Cross multiply
    7,468,119x = 11,270,856.38 × 11,270,856.38
  4. Step 4: Simplify right side
    7,468,119x = 127,032,203,425,878.14
  5. Step 5: Solve for x
    x = 127,032,203,425,878.14/7,468,119
  6. Step 6: Final answer
    x = 17,009,932.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.