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Finding the Third Proportional to 47,873,992 and 75,818,939

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Solution

The third proportional to 47,873,992 and 75,818,939 is: 120,075,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873,992 : 75,818,939 = 75,818,939 : x
  2. Step 2: Convert to fraction form
    47,873,992/75,818,939 = 75,818,939/x
  3. Step 3: Cross multiply
    47,873,992x = 75,818,939 × 75,818,939
  4. Step 4: Simplify right side
    47,873,992x = 5,748,511,511,085,721
  5. Step 5: Solve for x
    x = 5,748,511,511,085,721/47,873,992
  6. Step 6: Final answer
    x = 120,075,875.67

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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.