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Finding the Third Proportional to 47,203,538 and 71,239,539

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Solution

The third proportional to 47,203,538 and 71,239,539 is: 107,514,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203,538 : 71,239,539 = 71,239,539 : x
  2. Step 2: Convert to fraction form
    47,203,538/71,239,539 = 71,239,539/x
  3. Step 3: Cross multiply
    47,203,538x = 71,239,539 × 71,239,539
  4. Step 4: Simplify right side
    47,203,538x = 5,075,071,916,932,521
  5. Step 5: Solve for x
    x = 5,075,071,916,932,521/47,203,538
  6. Step 6: Final answer
    x = 107,514,651.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.