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Finding the Third Proportional to 341,628,585,256 and 734,671,097,924

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Solution

The third proportional to 341,628,585,256 and 734,671,097,924 is: 1,579,907,669,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,256 : 734,671,097,924 = 734,671,097,924 : x
  2. Step 2: Convert to fraction form
    341,628,585,256/734,671,097,924 = 734,671,097,924/x
  3. Step 3: Cross multiply
    341,628,585,256x = 734,671,097,924 × 734,671,097,924
  4. Step 4: Simplify right side
    341,628,585,256x = 539,741,622,124,855,611,621,376
  5. Step 5: Solve for x
    x = 539,741,622,124,855,611,621,376/341,628,585,256
  6. Step 6: Final answer
    x = 1,579,907,669,963.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.