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Finding the Third Proportional to 7,666,495.50 and 16,456,750

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Solution

The third proportional to 7,666,495.50 and 16,456,750 is: 35,325,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,495.50 : 16,456,750 = 16,456,750 : x
  2. Step 2: Convert to fraction form
    7,666,495.50/16,456,750 = 16,456,750/x
  3. Step 3: Cross multiply
    7,666,495.50x = 16,456,750 × 16,456,750
  4. Step 4: Simplify right side
    7,666,495.50x = 270,824,620,562,500
  5. Step 5: Solve for x
    x = 270,824,620,562,500/7,666,495.50
  6. Step 6: Final answer
    x = 35,325,739.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.