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Finding the Third Proportional to 321,439,848 and 697,677,150

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Solution

The third proportional to 321,439,848 and 697,677,150 is: 1,514,290,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,848 : 697,677,150 = 697,677,150 : x
  2. Step 2: Convert to fraction form
    321,439,848/697,677,150 = 697,677,150/x
  3. Step 3: Cross multiply
    321,439,848x = 697,677,150 × 697,677,150
  4. Step 4: Simplify right side
    321,439,848x = 486,753,405,632,122,496
  5. Step 5: Solve for x
    x = 486,753,405,632,122,496/321,439,848
  6. Step 6: Final answer
    x = 1,514,290,803.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.