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Finding the Third Proportional to 281,807,247 and 571,538,274

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Solution

The third proportional to 281,807,247 and 571,538,274 is: 1,159,146,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,807,247 : 571,538,274 = 571,538,274 : x
  2. Step 2: Convert to fraction form
    281,807,247/571,538,274 = 571,538,274/x
  3. Step 3: Cross multiply
    281,807,247x = 571,538,274 × 571,538,274
  4. Step 4: Simplify right side
    281,807,247x = 326,655,998,646,899,072
  5. Step 5: Solve for x
    x = 326,655,998,646,899,072/281,807,247
  6. Step 6: Final answer
    x = 1,159,146,906.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.