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Finding the Third Proportional to 36,015,877 and 78,862,322

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Solution

The third proportional to 36,015,877 and 78,862,322 is: 172,681,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015,877 : 78,862,322 = 78,862,322 : x
  2. Step 2: Convert to fraction form
    36,015,877/78,862,322 = 78,862,322/x
  3. Step 3: Cross multiply
    36,015,877x = 78,862,322 × 78,862,322
  4. Step 4: Simplify right side
    36,015,877x = 6,219,265,831,231,684
  5. Step 5: Solve for x
    x = 6,219,265,831,231,684/36,015,877
  6. Step 6: Final answer
    x = 172,681,226.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.