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Finding the Third Proportional to 2,366,175.38 and 5,146,929

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Solution

The third proportional to 2,366,175.38 and 5,146,929 is: 11,195,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,175.38 : 5,146,929 = 5,146,929 : x
  2. Step 2: Convert to fraction form
    2,366,175.38/5,146,929 = 5,146,929/x
  3. Step 3: Cross multiply
    2,366,175.38x = 5,146,929 × 5,146,929
  4. Step 4: Simplify right side
    2,366,175.38x = 26,490,878,131,041
  5. Step 5: Solve for x
    x = 26,490,878,131,041/2,366,175.38
  6. Step 6: Final answer
    x = 11,195,652.87

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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.