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Finding the Third Proportional to 904,826,498,322 and 1,349,393,197,770

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Solution

The third proportional to 904,826,498,322 and 1,349,393,197,770 is: 2,012,388,016,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,826,498,322 : 1,349,393,197,770 = 1,349,393,197,770 : x
  2. Step 2: Convert to fraction form
    904,826,498,322/1,349,393,197,770 = 1,349,393,197,770/x
  3. Step 3: Cross multiply
    904,826,498,322x = 1,349,393,197,770 × 1,349,393,197,770
  4. Step 4: Simplify right side
    904,826,498,322x = 1,820,862,002,187,946,329,899,008
  5. Step 5: Solve for x
    x = 1,820,862,002,187,946,329,899,008/904,826,498,322
  6. Step 6: Final answer
    x = 2,012,388,016,448.16

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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.