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Finding the Third Proportional to 6,661,971 and 14,334,295

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Solution

The third proportional to 6,661,971 and 14,334,295 is: 30,842,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661,971 : 14,334,295 = 14,334,295 : x
  2. Step 2: Convert to fraction form
    6,661,971/14,334,295 = 14,334,295/x
  3. Step 3: Cross multiply
    6,661,971x = 14,334,295 × 14,334,295
  4. Step 4: Simplify right side
    6,661,971x = 205,472,013,147,025
  5. Step 5: Solve for x
    x = 205,472,013,147,025/6,661,971
  6. Step 6: Final answer
    x = 30,842,525.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.