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Finding the Third Proportional to 253,511,930 and 534,260,205

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Solution

The third proportional to 253,511,930 and 534,260,205 is: 1,125,919,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,511,930 : 534,260,205 = 534,260,205 : x
  2. Step 2: Convert to fraction form
    253,511,930/534,260,205 = 534,260,205/x
  3. Step 3: Cross multiply
    253,511,930x = 534,260,205 × 534,260,205
  4. Step 4: Simplify right side
    253,511,930x = 285,433,966,646,642,016
  5. Step 5: Solve for x
    x = 285,433,966,646,642,016/253,511,930
  6. Step 6: Final answer
    x = 1,125,919,267.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.