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Finding the Third Proportional to 1,550,470,780 and 2,383,180,530

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Solution

The third proportional to 1,550,470,780 and 2,383,180,530 is: 3,663,112,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,470,780 : 2,383,180,530 = 2,383,180,530 : x
  2. Step 2: Convert to fraction form
    1,550,470,780/2,383,180,530 = 2,383,180,530/x
  3. Step 3: Cross multiply
    1,550,470,780x = 2,383,180,530 × 2,383,180,530
  4. Step 4: Simplify right side
    1,550,470,780x = 5,679,549,438,571,080,704
  5. Step 5: Solve for x
    x = 5,679,549,438,571,080,704/1,550,470,780
  6. Step 6: Final answer
    x = 3,663,112,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.