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Finding the Third Proportional to 2,906,946,501 and 6,376,684,098

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Solution

The third proportional to 2,906,946,501 and 6,376,684,098 is: 13,987,907,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,501 : 6,376,684,098 = 6,376,684,098 : x
  2. Step 2: Convert to fraction form
    2,906,946,501/6,376,684,098 = 6,376,684,098/x
  3. Step 3: Cross multiply
    2,906,946,501x = 6,376,684,098 × 6,376,684,098
  4. Step 4: Simplify right side
    2,906,946,501x = 40,662,100,085,686,075,392
  5. Step 5: Solve for x
    x = 40,662,100,085,686,075,392/2,906,946,501
  6. Step 6: Final answer
    x = 13,987,907,954.86

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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.