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Finding the Third Proportional to 341,628,585,864 and 734,671,099,128

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Solution

The third proportional to 341,628,585,864 and 734,671,099,128 is: 1,579,907,672,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,864 : 734,671,099,128 = 734,671,099,128 : x
  2. Step 2: Convert to fraction form
    341,628,585,864/734,671,099,128 = 734,671,099,128/x
  3. Step 3: Cross multiply
    341,628,585,864x = 734,671,099,128 × 734,671,099,128
  4. Step 4: Simplify right side
    341,628,585,864x = 539,741,623,893,943,581,147,136
  5. Step 5: Solve for x
    x = 539,741,623,893,943,581,147,136/341,628,585,864
  6. Step 6: Final answer
    x = 1,579,907,672,330.47

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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.