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Finding the Third Proportional to 7,662,563 and 11,865,634

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Solution

The third proportional to 7,662,563 and 11,865,634 is: 18,374,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662,563 : 11,865,634 = 11,865,634 : x
  2. Step 2: Convert to fraction form
    7,662,563/11,865,634 = 11,865,634/x
  3. Step 3: Cross multiply
    7,662,563x = 11,865,634 × 11,865,634
  4. Step 4: Simplify right side
    7,662,563x = 140,793,270,221,956
  5. Step 5: Solve for x
    x = 140,793,270,221,956/7,662,563
  6. Step 6: Final answer
    x = 18,374,174.57

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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.