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Finding the Third Proportional to 30,884,976 and 65,873,790

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Solution

The third proportional to 30,884,976 and 65,873,790 is: 140,500,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884,976 : 65,873,790 = 65,873,790 : x
  2. Step 2: Convert to fraction form
    30,884,976/65,873,790 = 65,873,790/x
  3. Step 3: Cross multiply
    30,884,976x = 65,873,790 × 65,873,790
  4. Step 4: Simplify right side
    30,884,976x = 4,339,356,208,964,100
  5. Step 5: Solve for x
    x = 4,339,356,208,964,100/30,884,976
  6. Step 6: Final answer
    x = 140,500,553.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.