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Finding the Third Proportional to 382,043,142,701.15 and 817,754,268,127.80

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Solution

The third proportional to 382,043,142,701.15 and 817,754,268,127.80 is: 1,750,383,577,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,043,142,701.15 : 817,754,268,127.80 = 817,754,268,127.80 : x
  2. Step 2: Convert to fraction form
    382,043,142,701.15/817,754,268,127.80 = 817,754,268,127.80/x
  3. Step 3: Cross multiply
    382,043,142,701.15x = 817,754,268,127.80 × 817,754,268,127.80
  4. Step 4: Simplify right side
    382,043,142,701.15x = 668,722,043,041,233,852,432,384
  5. Step 5: Solve for x
    x = 668,722,043,041,233,852,432,384/382,043,142,701.15
  6. Step 6: Final answer
    x = 1,750,383,577,920.51

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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.