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Finding the Third Proportional to 603,722,497,094 and 1,292,253,658,252

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Solution

The third proportional to 603,722,497,094 and 1,292,253,658,252 is: 2,766,038,246,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,722,497,094 : 1,292,253,658,252 = 1,292,253,658,252 : x
  2. Step 2: Convert to fraction form
    603,722,497,094/1,292,253,658,252 = 1,292,253,658,252/x
  3. Step 3: Cross multiply
    603,722,497,094x = 1,292,253,658,252 × 1,292,253,658,252
  4. Step 4: Simplify right side
    603,722,497,094x = 1,669,919,517,265,676,912,820,224
  5. Step 5: Solve for x
    x = 1,669,919,517,265,676,912,820,224/603,722,497,094
  6. Step 6: Final answer
    x = 2,766,038,246,551.66

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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.