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Finding the Third Proportional to 10,992,085.50 and 23,493,664.50

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Solution

The third proportional to 10,992,085.50 and 23,493,664.50 is: 50,213,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992,085.50 : 23,493,664.50 = 23,493,664.50 : x
  2. Step 2: Convert to fraction form
    10,992,085.50/23,493,664.50 = 23,493,664.50/x
  3. Step 3: Cross multiply
    10,992,085.50x = 23,493,664.50 × 23,493,664.50
  4. Step 4: Simplify right side
    10,992,085.50x = 551,952,271,638,560.25
  5. Step 5: Solve for x
    x = 551,952,271,638,560.25/10,992,085.50
  6. Step 6: Final answer
    x = 50,213,607.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.