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Finding the Third Proportional to 3,117,952 and 6,800,144

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Solution

The third proportional to 3,117,952 and 6,800,144 is: 14,830,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,952 : 6,800,144 = 6,800,144 : x
  2. Step 2: Convert to fraction form
    3,117,952/6,800,144 = 6,800,144/x
  3. Step 3: Cross multiply
    3,117,952x = 6,800,144 × 6,800,144
  4. Step 4: Simplify right side
    3,117,952x = 46,241,958,420,736
  5. Step 5: Solve for x
    x = 46,241,958,420,736/3,117,952
  6. Step 6: Final answer
    x = 14,830,875.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.