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Finding the Third Proportional to 382,043,142,705 and 817,754,268,135

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Solution

The third proportional to 382,043,142,705 and 817,754,268,135 is: 1,750,383,577,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,043,142,705 : 817,754,268,135 = 817,754,268,135 : x
  2. Step 2: Convert to fraction form
    382,043,142,705/817,754,268,135 = 817,754,268,135/x
  3. Step 3: Cross multiply
    382,043,142,705x = 817,754,268,135 × 817,754,268,135
  4. Step 4: Simplify right side
    382,043,142,705x = 668,722,043,053,009,444,798,464
  5. Step 5: Solve for x
    x = 668,722,043,053,009,444,798,464/382,043,142,705
  6. Step 6: Final answer
    x = 1,750,383,577,933.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.