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Finding the Third Proportional to 47,873,991 and 75,818,936

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Solution

The third proportional to 47,873,991 and 75,818,936 is: 120,075,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873,991 : 75,818,936 = 75,818,936 : x
  2. Step 2: Convert to fraction form
    47,873,991/75,818,936 = 75,818,936/x
  3. Step 3: Cross multiply
    47,873,991x = 75,818,936 × 75,818,936
  4. Step 4: Simplify right side
    47,873,991x = 5,748,511,056,172,096
  5. Step 5: Solve for x
    x = 5,748,511,056,172,096/47,873,991
  6. Step 6: Final answer
    x = 120,075,868.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.