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Finding the Third Proportional to 763,085,840.25 and 1,652,942,674.50

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Solution

The third proportional to 763,085,840.25 and 1,652,942,674.50 is: 3,580,487,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,840.25 : 1,652,942,674.50 = 1,652,942,674.50 : x
  2. Step 2: Convert to fraction form
    763,085,840.25/1,652,942,674.50 = 1,652,942,674.50/x
  3. Step 3: Cross multiply
    763,085,840.25x = 1,652,942,674.50 × 1,652,942,674.50
  4. Step 4: Simplify right side
    763,085,840.25x = 2,732,219,485,183,213,056
  5. Step 5: Solve for x
    x = 2,732,219,485,183,213,056/763,085,840.25
  6. Step 6: Final answer
    x = 3,580,487,726.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.