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Finding the Third Proportional to 320,614,777 and 700,258,861

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Solution

The third proportional to 320,614,777 and 700,258,861 is: 1,529,444,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,614,777 : 700,258,861 = 700,258,861 : x
  2. Step 2: Convert to fraction form
    320,614,777/700,258,861 = 700,258,861/x
  3. Step 3: Cross multiply
    320,614,777x = 700,258,861 × 700,258,861
  4. Step 4: Simplify right side
    320,614,777x = 490,362,472,409,017,344
  5. Step 5: Solve for x
    x = 490,362,472,409,017,344/320,614,777
  6. Step 6: Final answer
    x = 1,529,444,391.17

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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.