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Finding the Third Proportional to 47,939,474 and 74,146,539

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Solution

The third proportional to 47,939,474 and 74,146,539 is: 114,680,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,939,474 : 74,146,539 = 74,146,539 : x
  2. Step 2: Convert to fraction form
    47,939,474/74,146,539 = 74,146,539/x
  3. Step 3: Cross multiply
    47,939,474x = 74,146,539 × 74,146,539
  4. Step 4: Simplify right side
    47,939,474x = 5,497,709,245,678,521
  5. Step 5: Solve for x
    x = 5,497,709,245,678,521/47,939,474
  6. Step 6: Final answer
    x = 114,680,216.26

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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.