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Finding the Third Proportional to 10,382,640.75 and 16,118,130

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Solution

The third proportional to 10,382,640.75 and 16,118,130 is: 25,021,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,640.75 : 16,118,130 = 16,118,130 : x
  2. Step 2: Convert to fraction form
    10,382,640.75/16,118,130 = 16,118,130/x
  3. Step 3: Cross multiply
    10,382,640.75x = 16,118,130 × 16,118,130
  4. Step 4: Simplify right side
    10,382,640.75x = 259,794,114,696,900
  5. Step 5: Solve for x
    x = 259,794,114,696,900/10,382,640.75
  6. Step 6: Final answer
    x = 25,021,968.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.