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Finding the Third Proportional to 36,015,884 and 78,862,336

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Solution

The third proportional to 36,015,884 and 78,862,336 is: 172,681,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015,884 : 78,862,336 = 78,862,336 : x
  2. Step 2: Convert to fraction form
    36,015,884/78,862,336 = 78,862,336/x
  3. Step 3: Cross multiply
    36,015,884x = 78,862,336 × 78,862,336
  4. Step 4: Simplify right side
    36,015,884x = 6,219,268,039,376,896
  5. Step 5: Solve for x
    x = 6,219,268,039,376,896/36,015,884
  6. Step 6: Final answer
    x = 172,681,254.73

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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.