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Finding the Third Proportional to 57,984,974 and 81,109,634

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Solution

The third proportional to 57,984,974 and 81,109,634 is: 113,456,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,974 : 81,109,634 = 81,109,634 : x
  2. Step 2: Convert to fraction form
    57,984,974/81,109,634 = 81,109,634/x
  3. Step 3: Cross multiply
    57,984,974x = 81,109,634 × 81,109,634
  4. Step 4: Simplify right side
    57,984,974x = 6,578,772,727,613,956
  5. Step 5: Solve for x
    x = 6,578,772,727,613,956/57,984,974
  6. Step 6: Final answer
    x = 113,456,509.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.