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Finding the Third Proportional to 219,420,828 and 471,863,736

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Solution

The third proportional to 219,420,828 and 471,863,736 is: 1,014,741,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,828 : 471,863,736 = 471,863,736 : x
  2. Step 2: Convert to fraction form
    219,420,828/471,863,736 = 471,863,736/x
  3. Step 3: Cross multiply
    219,420,828x = 471,863,736 × 471,863,736
  4. Step 4: Simplify right side
    219,420,828x = 222,655,385,351,877,696
  5. Step 5: Solve for x
    x = 222,655,385,351,877,696/219,420,828
  6. Step 6: Final answer
    x = 1,014,741,341.47

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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.