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Finding the Third Proportional to 20,965,980 and 31,596,714

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Solution

The third proportional to 20,965,980 and 31,596,714 is: 47,617,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965,980 : 31,596,714 = 31,596,714 : x
  2. Step 2: Convert to fraction form
    20,965,980/31,596,714 = 31,596,714/x
  3. Step 3: Cross multiply
    20,965,980x = 31,596,714 × 31,596,714
  4. Step 4: Simplify right side
    20,965,980x = 998,352,335,597,796
  5. Step 5: Solve for x
    x = 998,352,335,597,796/20,965,980
  6. Step 6: Final answer
    x = 47,617,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.