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Finding the Third Proportional to 10,167,714 and 21,171,780

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Solution

The third proportional to 10,167,714 and 21,171,780 is: 44,085,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167,714 : 21,171,780 = 21,171,780 : x
  2. Step 2: Convert to fraction form
    10,167,714/21,171,780 = 21,171,780/x
  3. Step 3: Cross multiply
    10,167,714x = 21,171,780 × 21,171,780
  4. Step 4: Simplify right side
    10,167,714x = 448,244,268,368,400
  5. Step 5: Solve for x
    x = 448,244,268,368,400/10,167,714
  6. Step 6: Final answer
    x = 44,085,058.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.