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Finding the Third Proportional to 1,170,529,016 and 1,691,212,292

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Solution

The third proportional to 1,170,529,016 and 1,691,212,292 is: 2,443,509,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,529,016 : 1,691,212,292 = 1,691,212,292 : x
  2. Step 2: Convert to fraction form
    1,170,529,016/1,691,212,292 = 1,691,212,292/x
  3. Step 3: Cross multiply
    1,170,529,016x = 1,691,212,292 × 1,691,212,292
  4. Step 4: Simplify right side
    1,170,529,016x = 2,860,199,016,611,893,248
  5. Step 5: Solve for x
    x = 2,860,199,016,611,893,248/1,170,529,016
  6. Step 6: Final answer
    x = 2,443,509,710.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.