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Finding the Third Proportional to 341,628,585,356.25 and 734,671,098,117

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Solution

The third proportional to 341,628,585,356.25 and 734,671,098,117 is: 1,579,907,670,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,356.25 : 734,671,098,117 = 734,671,098,117 : x
  2. Step 2: Convert to fraction form
    341,628,585,356.25/734,671,098,117 = 734,671,098,117/x
  3. Step 3: Cross multiply
    341,628,585,356.25x = 734,671,098,117 × 734,671,098,117
  4. Step 4: Simplify right side
    341,628,585,356.25x = 539,741,622,408,438,611,968,000
  5. Step 5: Solve for x
    x = 539,741,622,408,438,611,968,000/341,628,585,356.25
  6. Step 6: Final answer
    x = 1,579,907,670,330.33

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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.