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Finding the Third Proportional to 2,906,946,586 and 6,376,684,302

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Solution

The third proportional to 2,906,946,586 and 6,376,684,302 is: 13,987,908,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,586 : 6,376,684,302 = 6,376,684,302 : x
  2. Step 2: Convert to fraction form
    2,906,946,586/6,376,684,302 = 6,376,684,302/x
  3. Step 3: Cross multiply
    2,906,946,586x = 6,376,684,302 × 6,376,684,302
  4. Step 4: Simplify right side
    2,906,946,586x = 40,662,102,687,373,230,080
  5. Step 5: Solve for x
    x = 40,662,102,687,373,230,080/2,906,946,586
  6. Step 6: Final answer
    x = 13,987,908,440.84

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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.