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Finding the Third Proportional to 2,906,946,610 and 6,376,684,347

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Solution

The third proportional to 2,906,946,610 and 6,376,684,347 is: 13,987,908,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,610 : 6,376,684,347 = 6,376,684,347 : x
  2. Step 2: Convert to fraction form
    2,906,946,610/6,376,684,347 = 6,376,684,347/x
  3. Step 3: Cross multiply
    2,906,946,610x = 6,376,684,347 × 6,376,684,347
  4. Step 4: Simplify right side
    2,906,946,610x = 40,662,103,261,274,816,512
  5. Step 5: Solve for x
    x = 40,662,103,261,274,816,512/2,906,946,610
  6. Step 6: Final answer
    x = 13,987,908,522.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.