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Finding the Third Proportional to 341,628,585,470 and 734,671,098,368

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Solution

The third proportional to 341,628,585,470 and 734,671,098,368 is: 1,579,907,670,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,470 : 734,671,098,368 = 734,671,098,368 : x
  2. Step 2: Convert to fraction form
    341,628,585,470/734,671,098,368 = 734,671,098,368/x
  3. Step 3: Cross multiply
    341,628,585,470x = 734,671,098,368 × 734,671,098,368
  4. Step 4: Simplify right side
    341,628,585,470x = 539,741,622,777,243,561,361,408
  5. Step 5: Solve for x
    x = 539,741,622,777,243,561,361,408/341,628,585,470
  6. Step 6: Final answer
    x = 1,579,907,670,883.83

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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.