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Finding the Third Proportional to 11,945,498 and 18,446,319

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Solution

The third proportional to 11,945,498 and 18,446,319 is: 28,484,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945,498 : 18,446,319 = 18,446,319 : x
  2. Step 2: Convert to fraction form
    11,945,498/18,446,319 = 18,446,319/x
  3. Step 3: Cross multiply
    11,945,498x = 18,446,319 × 18,446,319
  4. Step 4: Simplify right side
    11,945,498x = 340,266,684,649,761
  5. Step 5: Solve for x
    x = 340,266,684,649,761/11,945,498
  6. Step 6: Final answer
    x = 28,484,930.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.