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Finding the Third Proportional to 7,727,976 and 11,355,666

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Solution

The third proportional to 7,727,976 and 11,355,666 is: 16,686,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,976 : 11,355,666 = 11,355,666 : x
  2. Step 2: Convert to fraction form
    7,727,976/11,355,666 = 11,355,666/x
  3. Step 3: Cross multiply
    7,727,976x = 11,355,666 × 11,355,666
  4. Step 4: Simplify right side
    7,727,976x = 128,951,150,303,556
  5. Step 5: Solve for x
    x = 128,951,150,303,556/7,727,976
  6. Step 6: Final answer
    x = 16,686,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.