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Finding the Third Proportional to 219,420,912 and 471,863,904

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Solution

The third proportional to 219,420,912 and 471,863,904 is: 1,014,741,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,912 : 471,863,904 = 471,863,904 : x
  2. Step 2: Convert to fraction form
    219,420,912/471,863,904 = 471,863,904/x
  3. Step 3: Cross multiply
    219,420,912x = 471,863,904 × 471,863,904
  4. Step 4: Simplify right side
    219,420,912x = 222,655,543,898,121,216
  5. Step 5: Solve for x
    x = 222,655,543,898,121,216/219,420,912
  6. Step 6: Final answer
    x = 1,014,741,675.57

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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.