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Finding the Third Proportional to 2,663,236.50 and 5,823,466.50

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Solution

The third proportional to 2,663,236.50 and 5,823,466.50 is: 12,733,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,236.50 : 5,823,466.50 = 5,823,466.50 : x
  2. Step 2: Convert to fraction form
    2,663,236.50/5,823,466.50 = 5,823,466.50/x
  3. Step 3: Cross multiply
    2,663,236.50x = 5,823,466.50 × 5,823,466.50
  4. Step 4: Simplify right side
    2,663,236.50x = 33,912,762,076,622.25
  5. Step 5: Solve for x
    x = 33,912,762,076,622.25/2,663,236.50
  6. Step 6: Final answer
    x = 12,733,665.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.