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Finding the Third Proportional to 5,823,702.38 and 9,008,110.88

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Solution

The third proportional to 5,823,702.38 and 9,008,110.88 is: 13,933,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823,702.38 : 9,008,110.88 = 9,008,110.88 : x
  2. Step 2: Convert to fraction form
    5,823,702.38/9,008,110.88 = 9,008,110.88/x
  3. Step 3: Cross multiply
    5,823,702.38x = 9,008,110.88 × 9,008,110.88
  4. Step 4: Simplify right side
    5,823,702.38x = 81,146,061,536,293.27
  5. Step 5: Solve for x
    x = 81,146,061,536,293.27/5,823,702.38
  6. Step 6: Final answer
    x = 13,933,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.