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Finding the Third Proportional to 5,053,689 and 8,251,345.50

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Solution

The third proportional to 5,053,689 and 8,251,345.50 is: 13,472,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,689 : 8,251,345.50 = 8,251,345.50 : x
  2. Step 2: Convert to fraction form
    5,053,689/8,251,345.50 = 8,251,345.50/x
  3. Step 3: Cross multiply
    5,053,689x = 8,251,345.50 × 8,251,345.50
  4. Step 4: Simplify right side
    5,053,689x = 68,084,702,560,370.25
  5. Step 5: Solve for x
    x = 68,084,702,560,370.25/5,053,689
  6. Step 6: Final answer
    x = 13,472,277.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.