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Finding the Third Proportional to 7,584,789.38 and 16,586,116.88

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Solution

The third proportional to 7,584,789.38 and 16,586,116.88 is: 36,269,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,789.38 : 16,586,116.88 = 16,586,116.88 : x
  2. Step 2: Convert to fraction form
    7,584,789.38/16,586,116.88 = 16,586,116.88/x
  3. Step 3: Cross multiply
    7,584,789.38x = 16,586,116.88 × 16,586,116.88
  4. Step 4: Simplify right side
    7,584,789.38x = 275,099,272,991,159.75
  5. Step 5: Solve for x
    x = 275,099,272,991,159.75/7,584,789.38
  6. Step 6: Final answer
    x = 36,269,863.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.