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Finding the Third Proportional to 4,129,967.25 and 8,946,288

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Solution

The third proportional to 4,129,967.25 and 8,946,288 is: 19,379,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,967.25 : 8,946,288 = 8,946,288 : x
  2. Step 2: Convert to fraction form
    4,129,967.25/8,946,288 = 8,946,288/x
  3. Step 3: Cross multiply
    4,129,967.25x = 8,946,288 × 8,946,288
  4. Step 4: Simplify right side
    4,129,967.25x = 80,036,068,978,944
  5. Step 5: Solve for x
    x = 80,036,068,978,944/4,129,967.25
  6. Step 6: Final answer
    x = 19,379,347.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.