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Finding the Third Proportional to 697,446,852 and 1,505,842,416

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Solution

The third proportional to 697,446,852 and 1,505,842,416 is: 3,251,231,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,446,852 : 1,505,842,416 = 1,505,842,416 : x
  2. Step 2: Convert to fraction form
    697,446,852/1,505,842,416 = 1,505,842,416/x
  3. Step 3: Cross multiply
    697,446,852x = 1,505,842,416 × 1,505,842,416
  4. Step 4: Simplify right side
    697,446,852x = 2,267,561,381,824,717,056
  5. Step 5: Solve for x
    x = 2,267,561,381,824,717,056/697,446,852
  6. Step 6: Final answer
    x = 3,251,231,796.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.