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Finding the Third Proportional to 5,671,825.50 and 8,717,964

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Solution

The third proportional to 5,671,825.50 and 8,717,964 is: 13,400,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,825.50 : 8,717,964 = 8,717,964 : x
  2. Step 2: Convert to fraction form
    5,671,825.50/8,717,964 = 8,717,964/x
  3. Step 3: Cross multiply
    5,671,825.50x = 8,717,964 × 8,717,964
  4. Step 4: Simplify right side
    5,671,825.50x = 76,002,896,305,296
  5. Step 5: Solve for x
    x = 76,002,896,305,296/5,671,825.50
  6. Step 6: Final answer
    x = 13,400,076.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.