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Finding the Third Proportional to 9,843,276 and 15,410,046

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Solution

The third proportional to 9,843,276 and 15,410,046 is: 24,125,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,276 : 15,410,046 = 15,410,046 : x
  2. Step 2: Convert to fraction form
    9,843,276/15,410,046 = 15,410,046/x
  3. Step 3: Cross multiply
    9,843,276x = 15,410,046 × 15,410,046
  4. Step 4: Simplify right side
    9,843,276x = 237,469,517,722,116
  5. Step 5: Solve for x
    x = 237,469,517,722,116/9,843,276
  6. Step 6: Final answer
    x = 24,125,049.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.