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Finding the Third Proportional to 180,236,351 and 370,027,567

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Solution

The third proportional to 180,236,351 and 370,027,567 is: 759,671,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,351 : 370,027,567 = 370,027,567 : x
  2. Step 2: Convert to fraction form
    180,236,351/370,027,567 = 370,027,567/x
  3. Step 3: Cross multiply
    180,236,351x = 370,027,567 × 370,027,567
  4. Step 4: Simplify right side
    180,236,351x = 136,920,400,339,939,488
  5. Step 5: Solve for x
    x = 136,920,400,339,939,488/180,236,351
  6. Step 6: Final answer
    x = 759,671,395.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.