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Finding the Third Proportional to 334,248,759,192 and 734,161,587,582

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Solution

The third proportional to 334,248,759,192 and 734,161,587,582 is: 1,612,551,196,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,248,759,192 : 734,161,587,582 = 734,161,587,582 : x
  2. Step 2: Convert to fraction form
    334,248,759,192/734,161,587,582 = 734,161,587,582/x
  3. Step 3: Cross multiply
    334,248,759,192x = 734,161,587,582 × 734,161,587,582
  4. Step 4: Simplify right side
    334,248,759,192x = 538,993,236,680,922,670,039,040
  5. Step 5: Solve for x
    x = 538,993,236,680,922,670,039,040/334,248,759,192
  6. Step 6: Final answer
    x = 1,612,551,196,850.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.