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Finding the Third Proportional to 5,049,721 and 7,102,789

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Solution

The third proportional to 5,049,721 and 7,102,789 is: 9,990,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049,721 : 7,102,789 = 7,102,789 : x
  2. Step 2: Convert to fraction form
    5,049,721/7,102,789 = 7,102,789/x
  3. Step 3: Cross multiply
    5,049,721x = 7,102,789 × 7,102,789
  4. Step 4: Simplify right side
    5,049,721x = 50,449,611,578,521
  5. Step 5: Solve for x
    x = 50,449,611,578,521/5,049,721
  6. Step 6: Final answer
    x = 9,990,574.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.