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Finding the Third Proportional to 341,628,585,337.50 and 734,671,098,039

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Solution

The third proportional to 341,628,585,337.50 and 734,671,098,039 is: 1,579,907,670,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,337.50 : 734,671,098,039 = 734,671,098,039 : x
  2. Step 2: Convert to fraction form
    341,628,585,337.50/734,671,098,039 = 734,671,098,039/x
  3. Step 3: Cross multiply
    341,628,585,337.50x = 734,671,098,039 × 734,671,098,039
  4. Step 4: Simplify right side
    341,628,585,337.50x = 539,741,622,293,829,959,811,072
  5. Step 5: Solve for x
    x = 539,741,622,293,829,959,811,072/341,628,585,337.50
  6. Step 6: Final answer
    x = 1,579,907,670,081.56

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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.