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Finding the Third Proportional to 290,240,032 and 631,496,192

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Solution

The third proportional to 290,240,032 and 631,496,192 is: 1,373,991,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,240,032 : 631,496,192 = 631,496,192 : x
  2. Step 2: Convert to fraction form
    290,240,032/631,496,192 = 631,496,192/x
  3. Step 3: Cross multiply
    290,240,032x = 631,496,192 × 631,496,192
  4. Step 4: Simplify right side
    290,240,032x = 398,787,440,510,500,864
  5. Step 5: Solve for x
    x = 398,787,440,510,500,864/290,240,032
  6. Step 6: Final answer
    x = 1,373,991,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.