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Finding the Third Proportional to 320,614,762 and 700,258,832

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Solution

The third proportional to 320,614,762 and 700,258,832 is: 1,529,444,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,614,762 : 700,258,832 = 700,258,832 : x
  2. Step 2: Convert to fraction form
    320,614,762/700,258,832 = 700,258,832/x
  3. Step 3: Cross multiply
    320,614,762x = 700,258,832 × 700,258,832
  4. Step 4: Simplify right side
    320,614,762x = 490,362,431,794,004,224
  5. Step 5: Solve for x
    x = 490,362,431,794,004,224/320,614,762
  6. Step 6: Final answer
    x = 1,529,444,336.05

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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.