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Finding the Third Proportional to 45,173,722,464 and 68,341,579,578

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Solution

The third proportional to 45,173,722,464 and 68,341,579,578 is: 103,391,335,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,173,722,464 : 68,341,579,578 = 68,341,579,578 : x
  2. Step 2: Convert to fraction form
    45,173,722,464/68,341,579,578 = 68,341,579,578/x
  3. Step 3: Cross multiply
    45,173,722,464x = 68,341,579,578 × 68,341,579,578
  4. Step 4: Simplify right side
    45,173,722,464x = 4,670,571,499,216,106,422,272
  5. Step 5: Solve for x
    x = 4,670,571,499,216,106,422,272/45,173,722,464
  6. Step 6: Final answer
    x = 103,391,335,592.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.