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Finding the Third Proportional to 16,423,289 and 38,768,714

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Solution

The third proportional to 16,423,289 and 38,768,714 is: 91,517,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423,289 : 38,768,714 = 38,768,714 : x
  2. Step 2: Convert to fraction form
    16,423,289/38,768,714 = 38,768,714/x
  3. Step 3: Cross multiply
    16,423,289x = 38,768,714 × 38,768,714
  4. Step 4: Simplify right side
    16,423,289x = 1,503,013,185,213,796
  5. Step 5: Solve for x
    x = 1,503,013,185,213,796/16,423,289
  6. Step 6: Final answer
    x = 91,517,185.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.