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Finding the Third Proportional to 544,061,350.13 and 1,180,493,780.63

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Solution

The third proportional to 544,061,350.13 and 1,180,493,780.63 is: 2,561,412,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,061,350.13 : 1,180,493,780.63 = 1,180,493,780.63 : x
  2. Step 2: Convert to fraction form
    544,061,350.13/1,180,493,780.63 = 1,180,493,780.63/x
  3. Step 3: Cross multiply
    544,061,350.13x = 1,180,493,780.63 × 1,180,493,780.63
  4. Step 4: Simplify right side
    544,061,350.13x = 1,393,565,566,094,305,536
  5. Step 5: Solve for x
    x = 1,393,565,566,094,305,536/544,061,350.13
  6. Step 6: Final answer
    x = 2,561,412,542.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.