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Finding the Third Proportional to 5,102,505 and 11,016,708

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Solution

The third proportional to 5,102,505 and 11,016,708 is: 23,785,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,505 : 11,016,708 = 11,016,708 : x
  2. Step 2: Convert to fraction form
    5,102,505/11,016,708 = 11,016,708/x
  3. Step 3: Cross multiply
    5,102,505x = 11,016,708 × 11,016,708
  4. Step 4: Simplify right side
    5,102,505x = 121,367,855,157,264
  5. Step 5: Solve for x
    x = 121,367,855,157,264/5,102,505
  6. Step 6: Final answer
    x = 23,785,935.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.