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Finding the Third Proportional to 47,851,077 and 74,237,076

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Solution

The third proportional to 47,851,077 and 74,237,076 is: 115,172,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,077 : 74,237,076 = 74,237,076 : x
  2. Step 2: Convert to fraction form
    47,851,077/74,237,076 = 74,237,076/x
  3. Step 3: Cross multiply
    47,851,077x = 74,237,076 × 74,237,076
  4. Step 4: Simplify right side
    47,851,077x = 5,511,143,453,029,776
  5. Step 5: Solve for x
    x = 5,511,143,453,029,776/47,851,077
  6. Step 6: Final answer
    x = 115,172,819.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.