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Finding the Third Proportional to 218,683,709 and 481,942,120

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Solution

The third proportional to 218,683,709 and 481,942,120 is: 1,062,119,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,683,709 : 481,942,120 = 481,942,120 : x
  2. Step 2: Convert to fraction form
    218,683,709/481,942,120 = 481,942,120/x
  3. Step 3: Cross multiply
    218,683,709x = 481,942,120 × 481,942,120
  4. Step 4: Simplify right side
    218,683,709x = 232,268,207,030,094,400
  5. Step 5: Solve for x
    x = 232,268,207,030,094,400/218,683,709
  6. Step 6: Final answer
    x = 1,062,119,387.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.