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Finding the Third Proportional to 5,080,172.25 and 7,739,358

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Solution

The third proportional to 5,080,172.25 and 7,739,358 is: 11,790,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080,172.25 : 7,739,358 = 7,739,358 : x
  2. Step 2: Convert to fraction form
    5,080,172.25/7,739,358 = 7,739,358/x
  3. Step 3: Cross multiply
    5,080,172.25x = 7,739,358 × 7,739,358
  4. Step 4: Simplify right side
    5,080,172.25x = 59,897,662,252,164
  5. Step 5: Solve for x
    x = 59,897,662,252,164/5,080,172.25
  6. Step 6: Final answer
    x = 11,790,478.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.