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Finding the Third Proportional to 10,094,993 and 15,661,012

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Solution

The third proportional to 10,094,993 and 15,661,012 is: 24,295,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,993 : 15,661,012 = 15,661,012 : x
  2. Step 2: Convert to fraction form
    10,094,993/15,661,012 = 15,661,012/x
  3. Step 3: Cross multiply
    10,094,993x = 15,661,012 × 15,661,012
  4. Step 4: Simplify right side
    10,094,993x = 245,267,296,864,144
  5. Step 5: Solve for x
    x = 245,267,296,864,144/10,094,993
  6. Step 6: Final answer
    x = 24,295,935.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.