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Finding the Third Proportional to 11,356,684 and 17,634,102

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Solution

The third proportional to 11,356,684 and 17,634,102 is: 27,381,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356,684 : 17,634,102 = 17,634,102 : x
  2. Step 2: Convert to fraction form
    11,356,684/17,634,102 = 17,634,102/x
  3. Step 3: Cross multiply
    11,356,684x = 17,634,102 × 17,634,102
  4. Step 4: Simplify right side
    11,356,684x = 310,961,553,346,404
  5. Step 5: Solve for x
    x = 310,961,553,346,404/11,356,684
  6. Step 6: Final answer
    x = 27,381,368.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.