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Finding the Third Proportional to 227,434,744 and 325,009,515

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Solution

The third proportional to 227,434,744 and 325,009,515 is: 464,446,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,744 : 325,009,515 = 325,009,515 : x
  2. Step 2: Convert to fraction form
    227,434,744/325,009,515 = 325,009,515/x
  3. Step 3: Cross multiply
    227,434,744x = 325,009,515 × 325,009,515
  4. Step 4: Simplify right side
    227,434,744x = 105,631,184,840,535,232
  5. Step 5: Solve for x
    x = 105,631,184,840,535,232/227,434,744
  6. Step 6: Final answer
    x = 464,446,121.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.