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Finding the Third Proportional to 4,665,010.50 and 9,702,450

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Solution

The third proportional to 4,665,010.50 and 9,702,450 is: 20,179,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,010.50 : 9,702,450 = 9,702,450 : x
  2. Step 2: Convert to fraction form
    4,665,010.50/9,702,450 = 9,702,450/x
  3. Step 3: Cross multiply
    4,665,010.50x = 9,702,450 × 9,702,450
  4. Step 4: Simplify right side
    4,665,010.50x = 94,137,536,002,500
  5. Step 5: Solve for x
    x = 94,137,536,002,500/4,665,010.50
  6. Step 6: Final answer
    x = 20,179,490.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.