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Finding the Third Proportional to 491,772,484.88 and 802,935,198.38

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Solution

The third proportional to 491,772,484.88 and 802,935,198.38 is: 1,310,982,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,772,484.88 : 802,935,198.38 = 802,935,198.38 : x
  2. Step 2: Convert to fraction form
    491,772,484.88/802,935,198.38 = 802,935,198.38/x
  3. Step 3: Cross multiply
    491,772,484.88x = 802,935,198.38 × 802,935,198.38
  4. Step 4: Simplify right side
    491,772,484.88x = 644,704,932,789,500,544
  5. Step 5: Solve for x
    x = 644,704,932,789,500,544/491,772,484.88
  6. Step 6: Final answer
    x = 1,310,982,115.95

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.