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Finding the Third Proportional to 904,826,498,319 and 1,349,393,197,765.50

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Solution

The third proportional to 904,826,498,319 and 1,349,393,197,765.50 is: 2,012,388,016,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,826,498,319 : 1,349,393,197,765.50 = 1,349,393,197,765.50 : x
  2. Step 2: Convert to fraction form
    904,826,498,319/1,349,393,197,765.50 = 1,349,393,197,765.50/x
  3. Step 3: Cross multiply
    904,826,498,319x = 1,349,393,197,765.50 × 1,349,393,197,765.50
  4. Step 4: Simplify right side
    904,826,498,319x = 1,820,862,002,175,801,772,998,656
  5. Step 5: Solve for x
    x = 1,820,862,002,175,801,772,998,656/904,826,498,319
  6. Step 6: Final answer
    x = 2,012,388,016,441.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.