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Finding the Third Proportional to 7,544,116 and 15,436,858

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Solution

The third proportional to 7,544,116 and 15,436,858 is: 31,587,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,116 : 15,436,858 = 15,436,858 : x
  2. Step 2: Convert to fraction form
    7,544,116/15,436,858 = 15,436,858/x
  3. Step 3: Cross multiply
    7,544,116x = 15,436,858 × 15,436,858
  4. Step 4: Simplify right side
    7,544,116x = 238,296,584,912,164
  5. Step 5: Solve for x
    x = 238,296,584,912,164/7,544,116
  6. Step 6: Final answer
    x = 31,587,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.