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Finding the Third Proportional to 382,043,142,703 and 817,754,268,130

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Solution

The third proportional to 382,043,142,703 and 817,754,268,130 is: 1,750,383,577,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,043,142,703 : 817,754,268,130 = 817,754,268,130 : x
  2. Step 2: Convert to fraction form
    382,043,142,703/817,754,268,130 = 817,754,268,130/x
  3. Step 3: Cross multiply
    382,043,142,703x = 817,754,268,130 × 817,754,268,130
  4. Step 4: Simplify right side
    382,043,142,703x = 668,722,043,044,831,961,284,608
  5. Step 5: Solve for x
    x = 668,722,043,044,831,961,284,608/382,043,142,703
  6. Step 6: Final answer
    x = 1,750,383,577,921.45

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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.