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Finding the Third Proportional to 23,405,514 and 31,056,616

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Solution

The third proportional to 23,405,514 and 31,056,616 is: 41,208,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405,514 : 31,056,616 = 31,056,616 : x
  2. Step 2: Convert to fraction form
    23,405,514/31,056,616 = 31,056,616/x
  3. Step 3: Cross multiply
    23,405,514x = 31,056,616 × 31,056,616
  4. Step 4: Simplify right side
    23,405,514x = 964,513,397,371,456
  5. Step 5: Solve for x
    x = 964,513,397,371,456/23,405,514
  6. Step 6: Final answer
    x = 41,208,810.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.