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Finding the Third Proportional to 898,239,186 and 1,965,806,118

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Solution

The third proportional to 898,239,186 and 1,965,806,118 is: 4,302,187,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,239,186 : 1,965,806,118 = 1,965,806,118 : x
  2. Step 2: Convert to fraction form
    898,239,186/1,965,806,118 = 1,965,806,118/x
  3. Step 3: Cross multiply
    898,239,186x = 1,965,806,118 × 1,965,806,118
  4. Step 4: Simplify right side
    898,239,186x = 3,864,393,693,566,230,016
  5. Step 5: Solve for x
    x = 3,864,393,693,566,230,016/898,239,186
  6. Step 6: Final answer
    x = 4,302,187,829.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.