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Finding the Third Proportional to 52,642,251.84 and 81,942,807.09

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Solution

The third proportional to 52,642,251.84 and 81,942,807.09 is: 127,551,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642,251.84 : 81,942,807.09 = 81,942,807.09 : x
  2. Step 2: Convert to fraction form
    52,642,251.84/81,942,807.09 = 81,942,807.09/x
  3. Step 3: Cross multiply
    52,642,251.84x = 81,942,807.09 × 81,942,807.09
  4. Step 4: Simplify right side
    52,642,251.84x = 6,714,623,634,403,525
  5. Step 5: Solve for x
    x = 6,714,623,634,403,525/52,642,251.84
  6. Step 6: Final answer
    x = 127,551,983.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.