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Finding the Third Proportional to 3,197,580 and 6,850,996

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Solution

The third proportional to 3,197,580 and 6,850,996 is: 14,678,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,580 : 6,850,996 = 6,850,996 : x
  2. Step 2: Convert to fraction form
    3,197,580/6,850,996 = 6,850,996/x
  3. Step 3: Cross multiply
    3,197,580x = 6,850,996 × 6,850,996
  4. Step 4: Simplify right side
    3,197,580x = 46,936,146,192,016
  5. Step 5: Solve for x
    x = 46,936,146,192,016/3,197,580
  6. Step 6: Final answer
    x = 14,678,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.