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Finding the Third Proportional to 47,851,072 and 74,237,073

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Solution

The third proportional to 47,851,072 and 74,237,073 is: 115,172,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,072 : 74,237,073 = 74,237,073 : x
  2. Step 2: Convert to fraction form
    47,851,072/74,237,073 = 74,237,073/x
  3. Step 3: Cross multiply
    47,851,072x = 74,237,073 × 74,237,073
  4. Step 4: Simplify right side
    47,851,072x = 5,511,143,007,607,329
  5. Step 5: Solve for x
    x = 5,511,143,007,607,329/47,851,072
  6. Step 6: Final answer
    x = 115,172,822.20

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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.