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Finding the Third Proportional to 219,420,834 and 471,863,748

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Solution

The third proportional to 219,420,834 and 471,863,748 is: 1,014,741,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,834 : 471,863,748 = 471,863,748 : x
  2. Step 2: Convert to fraction form
    219,420,834/471,863,748 = 471,863,748/x
  3. Step 3: Cross multiply
    219,420,834x = 471,863,748 × 471,863,748
  4. Step 4: Simplify right side
    219,420,834x = 222,655,396,676,607,488
  5. Step 5: Solve for x
    x = 222,655,396,676,607,488/219,420,834
  6. Step 6: Final answer
    x = 1,014,741,365.34

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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.