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Finding the Third Proportional to 19,534,686 and 42,431,196

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Solution

The third proportional to 19,534,686 and 42,431,196 is: 92,164,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534,686 : 42,431,196 = 42,431,196 : x
  2. Step 2: Convert to fraction form
    19,534,686/42,431,196 = 42,431,196/x
  3. Step 3: Cross multiply
    19,534,686x = 42,431,196 × 42,431,196
  4. Step 4: Simplify right side
    19,534,686x = 1,800,406,393,990,416
  5. Step 5: Solve for x
    x = 1,800,406,393,990,416/19,534,686
  6. Step 6: Final answer
    x = 92,164,593.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.