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Finding the Third Proportional to 38,776,311 and 57,415,774.50

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Solution

The third proportional to 38,776,311 and 57,415,774.50 is: 85,015,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776,311 : 57,415,774.50 = 57,415,774.50 : x
  2. Step 2: Convert to fraction form
    38,776,311/57,415,774.50 = 57,415,774.50/x
  3. Step 3: Cross multiply
    38,776,311x = 57,415,774.50 × 57,415,774.50
  4. Step 4: Simplify right side
    38,776,311x = 3,296,571,161,434,850
  5. Step 5: Solve for x
    x = 3,296,571,161,434,850/38,776,311
  6. Step 6: Final answer
    x = 85,015,079.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.