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Finding the Third Proportional to 10,694,539.50 and 23,093,896.50

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Solution

The third proportional to 10,694,539.50 and 23,093,896.50 is: 49,869,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,539.50 : 23,093,896.50 = 23,093,896.50 : x
  2. Step 2: Convert to fraction form
    10,694,539.50/23,093,896.50 = 23,093,896.50/x
  3. Step 3: Cross multiply
    10,694,539.50x = 23,093,896.50 × 23,093,896.50
  4. Step 4: Simplify right side
    10,694,539.50x = 533,328,055,552,712.25
  5. Step 5: Solve for x
    x = 533,328,055,552,712.25/10,694,539.50
  6. Step 6: Final answer
    x = 49,869,193.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.