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Finding the Third Proportional to 9,699,725 and 13,486,692

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Solution

The third proportional to 9,699,725 and 13,486,692 is: 18,752,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,725 : 13,486,692 = 13,486,692 : x
  2. Step 2: Convert to fraction form
    9,699,725/13,486,692 = 13,486,692/x
  3. Step 3: Cross multiply
    9,699,725x = 13,486,692 × 13,486,692
  4. Step 4: Simplify right side
    9,699,725x = 181,890,861,102,864
  5. Step 5: Solve for x
    x = 181,890,861,102,864/9,699,725
  6. Step 6: Final answer
    x = 18,752,166.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.