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Finding the Third Proportional to 1,657,881,351 and 3,595,489,383

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Solution

The third proportional to 1,657,881,351 and 3,595,489,383 is: 7,797,629,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,881,351 : 3,595,489,383 = 3,595,489,383 : x
  2. Step 2: Convert to fraction form
    1,657,881,351/3,595,489,383 = 3,595,489,383/x
  3. Step 3: Cross multiply
    1,657,881,351x = 3,595,489,383 × 3,595,489,383
  4. Step 4: Simplify right side
    1,657,881,351x = 12,927,543,903,265,720,320
  5. Step 5: Solve for x
    x = 12,927,543,903,265,720,320/1,657,881,351
  6. Step 6: Final answer
    x = 7,797,629,121.93

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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.