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Finding the Third Proportional to 577,433,702 and 1,362,684,923

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Solution

The third proportional to 577,433,702 and 1,362,684,923 is: 3,215,798,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,433,702 : 1,362,684,923 = 1,362,684,923 : x
  2. Step 2: Convert to fraction form
    577,433,702/1,362,684,923 = 1,362,684,923/x
  3. Step 3: Cross multiply
    577,433,702x = 1,362,684,923 × 1,362,684,923
  4. Step 4: Simplify right side
    577,433,702x = 1,856,910,199,371,515,904
  5. Step 5: Solve for x
    x = 1,856,910,199,371,515,904/577,433,702
  6. Step 6: Final answer
    x = 3,215,798,095.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.