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Finding the Third Proportional to 6,786,704 and 14,636,104

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Solution

The third proportional to 6,786,704 and 14,636,104 is: 31,564,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,704 : 14,636,104 = 14,636,104 : x
  2. Step 2: Convert to fraction form
    6,786,704/14,636,104 = 14,636,104/x
  3. Step 3: Cross multiply
    6,786,704x = 14,636,104 × 14,636,104
  4. Step 4: Simplify right side
    6,786,704x = 214,215,540,298,816
  5. Step 5: Solve for x
    x = 214,215,540,298,816/6,786,704
  6. Step 6: Final answer
    x = 31,564,002.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.