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Finding the Third Proportional to 2,657,601,722.81 and 5,694,273,599.06

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Solution

The third proportional to 2,657,601,722.81 and 5,694,273,599.06 is: 12,200,756,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,601,722.81 : 5,694,273,599.06 = 5,694,273,599.06 : x
  2. Step 2: Convert to fraction form
    2,657,601,722.81/5,694,273,599.06 = 5,694,273,599.06/x
  3. Step 3: Cross multiply
    2,657,601,722.81x = 5,694,273,599.06 × 5,694,273,599.06
  4. Step 4: Simplify right side
    2,657,601,722.81x = 32,424,751,820,980,195,328
  5. Step 5: Solve for x
    x = 32,424,751,820,980,195,328/2,657,601,722.81
  6. Step 6: Final answer
    x = 12,200,756,623.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.