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Finding the Third Proportional to 219,420,830 and 471,863,740

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Solution

The third proportional to 219,420,830 and 471,863,740 is: 1,014,741,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,830 : 471,863,740 = 471,863,740 : x
  2. Step 2: Convert to fraction form
    219,420,830/471,863,740 = 471,863,740/x
  3. Step 3: Cross multiply
    219,420,830x = 471,863,740 × 471,863,740
  4. Step 4: Simplify right side
    219,420,830x = 222,655,389,126,787,584
  5. Step 5: Solve for x
    x = 222,655,389,126,787,584/219,420,830
  6. Step 6: Final answer
    x = 1,014,741,349.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.