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Finding the Third Proportional to 6,210,864 and 13,515,228

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Solution

The third proportional to 6,210,864 and 13,515,228 is: 29,409,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210,864 : 13,515,228 = 13,515,228 : x
  2. Step 2: Convert to fraction form
    6,210,864/13,515,228 = 13,515,228/x
  3. Step 3: Cross multiply
    6,210,864x = 13,515,228 × 13,515,228
  4. Step 4: Simplify right side
    6,210,864x = 182,661,387,891,984
  5. Step 5: Solve for x
    x = 182,661,387,891,984/6,210,864
  6. Step 6: Final answer
    x = 29,409,980.30

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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.