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Finding the Third Proportional to 245,422,434 and 545,325,180

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Solution

The third proportional to 245,422,434 and 545,325,180 is: 1,211,704,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,422,434 : 545,325,180 = 545,325,180 : x
  2. Step 2: Convert to fraction form
    245,422,434/545,325,180 = 545,325,180/x
  3. Step 3: Cross multiply
    245,422,434x = 545,325,180 × 545,325,180
  4. Step 4: Simplify right side
    245,422,434x = 297,379,551,942,032,384
  5. Step 5: Solve for x
    x = 297,379,551,942,032,384/245,422,434
  6. Step 6: Final answer
    x = 1,211,704,843.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.