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Finding the Third Proportional to 57,984,991 and 81,109,666.50

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Solution

The third proportional to 57,984,991 and 81,109,666.50 is: 113,456,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,991 : 81,109,666.50 = 81,109,666.50 : x
  2. Step 2: Convert to fraction form
    57,984,991/81,109,666.50 = 81,109,666.50/x
  3. Step 3: Cross multiply
    57,984,991x = 81,109,666.50 × 81,109,666.50
  4. Step 4: Simplify right side
    57,984,991x = 6,578,777,999,741,222
  5. Step 5: Solve for x
    x = 6,578,777,999,741,222/57,984,991
  6. Step 6: Final answer
    x = 113,456,566.71

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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.