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Finding the Third Proportional to 2,657,601,725 and 5,694,273,603

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Solution

The third proportional to 2,657,601,725 and 5,694,273,603 is: 12,200,756,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,601,725 : 5,694,273,603 = 5,694,273,603 : x
  2. Step 2: Convert to fraction form
    2,657,601,725/5,694,273,603 = 5,694,273,603/x
  3. Step 3: Cross multiply
    2,657,601,725x = 5,694,273,603 × 5,694,273,603
  4. Step 4: Simplify right side
    2,657,601,725x = 32,424,751,865,822,601,216
  5. Step 5: Solve for x
    x = 32,424,751,865,822,601,216/2,657,601,725
  6. Step 6: Final answer
    x = 12,200,756,629.86

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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.