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Finding the Third Proportional to 10,782,640.69 and 23,720,979.94

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Solution

The third proportional to 10,782,640.69 and 23,720,979.94 is: 52,184,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782,640.69 : 23,720,979.94 = 23,720,979.94 : x
  2. Step 2: Convert to fraction form
    10,782,640.69/23,720,979.94 = 23,720,979.94/x
  3. Step 3: Cross multiply
    10,782,640.69x = 23,720,979.94 × 23,720,979.94
  4. Step 4: Simplify right side
    10,782,640.69x = 562,684,889,195,277.50
  5. Step 5: Solve for x
    x = 562,684,889,195,277.50/10,782,640.69
  6. Step 6: Final answer
    x = 52,184,330.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.