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Finding the Third Proportional to 47,851,073 and 74,237,074

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Solution

The third proportional to 47,851,073 and 74,237,074 is: 115,172,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,073 : 74,237,074 = 74,237,074 : x
  2. Step 2: Convert to fraction form
    47,851,073/74,237,074 = 74,237,074/x
  3. Step 3: Cross multiply
    47,851,073x = 74,237,074 × 74,237,074
  4. Step 4: Simplify right side
    47,851,073x = 5,511,143,156,081,476
  5. Step 5: Solve for x
    x = 5,511,143,156,081,476/47,851,073
  6. Step 6: Final answer
    x = 115,172,822.90

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Why These Related Problems?

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