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Finding the Third Proportional to 5,710,746 and 8,251,029

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Solution

The third proportional to 5,710,746 and 8,251,029 is: 11,921,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,746 : 8,251,029 = 8,251,029 : x
  2. Step 2: Convert to fraction form
    5,710,746/8,251,029 = 8,251,029/x
  3. Step 3: Cross multiply
    5,710,746x = 8,251,029 × 8,251,029
  4. Step 4: Simplify right side
    5,710,746x = 68,079,479,558,841
  5. Step 5: Solve for x
    x = 68,079,479,558,841/5,710,746
  6. Step 6: Final answer
    x = 11,921,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.