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Finding the Third Proportional to 19,476,493 and 41,654,657

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Solution

The third proportional to 19,476,493 and 41,654,657 is: 89,087,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476,493 : 41,654,657 = 41,654,657 : x
  2. Step 2: Convert to fraction form
    19,476,493/41,654,657 = 41,654,657/x
  3. Step 3: Cross multiply
    19,476,493x = 41,654,657 × 41,654,657
  4. Step 4: Simplify right side
    19,476,493x = 1,735,110,449,787,649
  5. Step 5: Solve for x
    x = 1,735,110,449,787,649/19,476,493
  6. Step 6: Final answer
    x = 89,087,416.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.