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Finding the Third Proportional to 863,686,035 and 1,864,993,013

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Solution

The third proportional to 863,686,035 and 1,864,993,013 is: 4,027,156,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,686,035 : 1,864,993,013 = 1,864,993,013 : x
  2. Step 2: Convert to fraction form
    863,686,035/1,864,993,013 = 1,864,993,013/x
  3. Step 3: Cross multiply
    863,686,035x = 1,864,993,013 × 1,864,993,013
  4. Step 4: Simplify right side
    863,686,035x = 3,478,198,938,538,818,048
  5. Step 5: Solve for x
    x = 3,478,198,938,538,818,048/863,686,035
  6. Step 6: Final answer
    x = 4,027,156,625.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.