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Finding the Third Proportional to 7,775,200 and 11,509,764

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Solution

The third proportional to 7,775,200 and 11,509,764 is: 17,038,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,200 : 11,509,764 = 11,509,764 : x
  2. Step 2: Convert to fraction form
    7,775,200/11,509,764 = 11,509,764/x
  3. Step 3: Cross multiply
    7,775,200x = 11,509,764 × 11,509,764
  4. Step 4: Simplify right side
    7,775,200x = 132,474,667,335,696
  5. Step 5: Solve for x
    x = 132,474,667,335,696/7,775,200
  6. Step 6: Final answer
    x = 17,038,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.