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Finding the Third Proportional to 19,024,371 and 40,739,154.75

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Solution

The third proportional to 19,024,371 and 40,739,154.75 is: 87,239,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024,371 : 40,739,154.75 = 40,739,154.75 : x
  2. Step 2: Convert to fraction form
    19,024,371/40,739,154.75 = 40,739,154.75/x
  3. Step 3: Cross multiply
    19,024,371x = 40,739,154.75 × 40,739,154.75
  4. Step 4: Simplify right side
    19,024,371x = 1,659,678,729,744,447.50
  5. Step 5: Solve for x
    x = 1,659,678,729,744,447.50/19,024,371
  6. Step 6: Final answer
    x = 87,239,611.22

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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.