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Finding the Third Proportional to 10,231,150.50 and 22,084,995.94

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Solution

The third proportional to 10,231,150.50 and 22,084,995.94 is: 47,672,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231,150.50 : 22,084,995.94 = 22,084,995.94 : x
  2. Step 2: Convert to fraction form
    10,231,150.50/22,084,995.94 = 22,084,995.94/x
  3. Step 3: Cross multiply
    10,231,150.50x = 22,084,995.94 × 22,084,995.94
  4. Step 4: Simplify right side
    10,231,150.50x = 487,747,045,559,391.50
  5. Step 5: Solve for x
    x = 487,747,045,559,391.50/10,231,150.50
  6. Step 6: Final answer
    x = 47,672,746.63

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