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Finding the Third Proportional to 341,628,585,264 and 734,671,097,940

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Solution

The third proportional to 341,628,585,264 and 734,671,097,940 is: 1,579,907,669,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,264 : 734,671,097,940 = 734,671,097,940 : x
  2. Step 2: Convert to fraction form
    341,628,585,264/734,671,097,940 = 734,671,097,940/x
  3. Step 3: Cross multiply
    341,628,585,264x = 734,671,097,940 × 734,671,097,940
  4. Step 4: Simplify right side
    341,628,585,264x = 539,741,622,148,365,054,640,128
  5. Step 5: Solve for x
    x = 539,741,622,148,365,054,640,128/341,628,585,264
  6. Step 6: Final answer
    x = 1,579,907,669,995.68

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