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Finding the Third Proportional to 463,006,009,983 and 1,002,949,289,982

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Solution

The third proportional to 463,006,009,983 and 1,002,949,289,982 is: 2,172,557,713,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,006,009,983 : 1,002,949,289,982 = 1,002,949,289,982 : x
  2. Step 2: Convert to fraction form
    463,006,009,983/1,002,949,289,982 = 1,002,949,289,982/x
  3. Step 3: Cross multiply
    463,006,009,983x = 1,002,949,289,982 × 1,002,949,289,982
  4. Step 4: Simplify right side
    463,006,009,983x = 1,005,907,278,275,397,984,190,464
  5. Step 5: Solve for x
    x = 1,005,907,278,275,397,984,190,464/463,006,009,983
  6. Step 6: Final answer
    x = 2,172,557,713,262.36

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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.