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Finding the Third Proportional to 341,628,585,262 and 734,671,097,936

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Solution

The third proportional to 341,628,585,262 and 734,671,097,936 is: 1,579,907,669,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,262 : 734,671,097,936 = 734,671,097,936 : x
  2. Step 2: Convert to fraction form
    341,628,585,262/734,671,097,936 = 734,671,097,936/x
  3. Step 3: Cross multiply
    341,628,585,262x = 734,671,097,936 × 734,671,097,936
  4. Step 4: Simplify right side
    341,628,585,262x = 539,741,622,142,487,727,439,872
  5. Step 5: Solve for x
    x = 539,741,622,142,487,727,439,872/341,628,585,262
  6. Step 6: Final answer
    x = 1,579,907,669,987.72

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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.