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Finding the Third Proportional to 10,382,689.50 and 22,633,623.75

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Solution

The third proportional to 10,382,689.50 and 22,633,623.75 is: 49,339,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,689.50 : 22,633,623.75 = 22,633,623.75 : x
  2. Step 2: Convert to fraction form
    10,382,689.50/22,633,623.75 = 22,633,623.75/x
  3. Step 3: Cross multiply
    10,382,689.50x = 22,633,623.75 × 22,633,623.75
  4. Step 4: Simplify right side
    10,382,689.50x = 512,280,924,056,564.06
  5. Step 5: Solve for x
    x = 512,280,924,056,564.06/10,382,689.50
  6. Step 6: Final answer
    x = 49,339,906.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.