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Finding the Third Proportional to 23,284,495.50 and 48,981,736.50

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Solution

The third proportional to 23,284,495.50 and 48,981,736.50 is: 103,038,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284,495.50 : 48,981,736.50 = 48,981,736.50 : x
  2. Step 2: Convert to fraction form
    23,284,495.50/48,981,736.50 = 48,981,736.50/x
  3. Step 3: Cross multiply
    23,284,495.50x = 48,981,736.50 × 48,981,736.50
  4. Step 4: Simplify right side
    23,284,495.50x = 2,399,210,510,555,432
  5. Step 5: Solve for x
    x = 2,399,210,510,555,432/23,284,495.50
  6. Step 6: Final answer
    x = 103,038,973.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.