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Finding the Third Proportional to 1,605,296,539 and 2,455,923,965.50

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Solution

The third proportional to 1,605,296,539 and 2,455,923,965.50 is: 3,757,288,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,296,539 : 2,455,923,965.50 = 2,455,923,965.50 : x
  2. Step 2: Convert to fraction form
    1,605,296,539/2,455,923,965.50 = 2,455,923,965.50/x
  3. Step 3: Cross multiply
    1,605,296,539x = 2,455,923,965.50 × 2,455,923,965.50
  4. Step 4: Simplify right side
    1,605,296,539x = 6,031,562,524,317,245,440
  5. Step 5: Solve for x
    x = 6,031,562,524,317,245,440/1,605,296,539
  6. Step 6: Final answer
    x = 3,757,288,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.