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Finding the Third Proportional to 219,862,277 and 477,609,226

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Solution

The third proportional to 219,862,277 and 477,609,226 is: 1,037,515,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,862,277 : 477,609,226 = 477,609,226 : x
  2. Step 2: Convert to fraction form
    219,862,277/477,609,226 = 477,609,226/x
  3. Step 3: Cross multiply
    219,862,277x = 477,609,226 × 477,609,226
  4. Step 4: Simplify right side
    219,862,277x = 228,110,572,760,319,072
  5. Step 5: Solve for x
    x = 228,110,572,760,319,072/219,862,277
  6. Step 6: Final answer
    x = 1,037,515,738.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.