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Finding the Third Proportional to 2,757,335,333,803.50 and 6,034,092,203,002.50

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Solution

The third proportional to 2,757,335,333,803.50 and 6,034,092,203,002.50 is: 13,204,875,108,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,335,333,803.50 : 6,034,092,203,002.50 = 6,034,092,203,002.50 : x
  2. Step 2: Convert to fraction form
    2,757,335,333,803.50/6,034,092,203,002.50 = 6,034,092,203,002.50/x
  3. Step 3: Cross multiply
    2,757,335,333,803.50x = 6,034,092,203,002.50 × 6,034,092,203,002.50
  4. Step 4: Simplify right side
    2,757,335,333,803.50x = 36,410,268,714,335,561,523,920,896
  5. Step 5: Solve for x
    x = 36,410,268,714,335,561,523,920,896/2,757,335,333,803.50
  6. Step 6: Final answer
    x = 13,204,875,108,212.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.