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Finding the Third Proportional to 1,661,474,068 and 3,545,331,367

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Solution

The third proportional to 1,661,474,068 and 3,545,331,367 is: 7,565,194,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,474,068 : 3,545,331,367 = 3,545,331,367 : x
  2. Step 2: Convert to fraction form
    1,661,474,068/3,545,331,367 = 3,545,331,367/x
  3. Step 3: Cross multiply
    1,661,474,068x = 3,545,331,367 × 3,545,331,367
  4. Step 4: Simplify right side
    1,661,474,068x = 12,569,374,501,834,088,448
  5. Step 5: Solve for x
    x = 12,569,374,501,834,088,448/1,661,474,068
  6. Step 6: Final answer
    x = 7,565,194,512.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.