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Finding the Third Proportional to 7,893,022.50 and 11,807,349.75

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Solution

The third proportional to 7,893,022.50 and 11,807,349.75 is: 17,662,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,022.50 : 11,807,349.75 = 11,807,349.75 : x
  2. Step 2: Convert to fraction form
    7,893,022.50/11,807,349.75 = 11,807,349.75/x
  3. Step 3: Cross multiply
    7,893,022.50x = 11,807,349.75 × 11,807,349.75
  4. Step 4: Simplify right side
    7,893,022.50x = 139,413,508,118,825.06
  5. Step 5: Solve for x
    x = 139,413,508,118,825.06/7,893,022.50
  6. Step 6: Final answer
    x = 17,662,879.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.