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Finding the Third Proportional to 341,628,585,341 and 734,671,098,046

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Solution

The third proportional to 341,628,585,341 and 734,671,098,046 is: 1,579,907,670,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,341 : 734,671,098,046 = 734,671,098,046 : x
  2. Step 2: Convert to fraction form
    341,628,585,341/734,671,098,046 = 734,671,098,046/x
  3. Step 3: Cross multiply
    341,628,585,341x = 734,671,098,046 × 734,671,098,046
  4. Step 4: Simplify right side
    341,628,585,341x = 539,741,622,304,115,332,743,168
  5. Step 5: Solve for x
    x = 539,741,622,304,115,332,743,168/341,628,585,341
  6. Step 6: Final answer
    x = 1,579,907,670,095.48

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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.