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Finding the Third Proportional to 7,740,902 and 10,826,943

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Solution

The third proportional to 7,740,902 and 10,826,943 is: 15,143,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740,902 : 10,826,943 = 10,826,943 : x
  2. Step 2: Convert to fraction form
    7,740,902/10,826,943 = 10,826,943/x
  3. Step 3: Cross multiply
    7,740,902x = 10,826,943 × 10,826,943
  4. Step 4: Simplify right side
    7,740,902x = 117,222,694,725,249
  5. Step 5: Solve for x
    x = 117,222,694,725,249/7,740,902
  6. Step 6: Final answer
    x = 15,143,286.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.