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Finding the Third Proportional to 5,164,566.75 and 11,310,814.69

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Solution

The third proportional to 5,164,566.75 and 11,310,814.69 is: 24,771,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164,566.75 : 11,310,814.69 = 11,310,814.69 : x
  2. Step 2: Convert to fraction form
    5,164,566.75/11,310,814.69 = 11,310,814.69/x
  3. Step 3: Cross multiply
    5,164,566.75x = 11,310,814.69 × 11,310,814.69
  4. Step 4: Simplify right side
    5,164,566.75x = 127,934,528,894,965.72
  5. Step 5: Solve for x
    x = 127,934,528,894,965.72/5,164,566.75
  6. Step 6: Final answer
    x = 24,771,589.77

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