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Finding the Third Proportional to 4,851,633,166.50 and 7,258,055,400

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Solution

The third proportional to 4,851,633,166.50 and 7,258,055,400 is: 10,858,069,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,633,166.50 : 7,258,055,400 = 7,258,055,400 : x
  2. Step 2: Convert to fraction form
    4,851,633,166.50/7,258,055,400 = 7,258,055,400/x
  3. Step 3: Cross multiply
    4,851,633,166.50x = 7,258,055,400 × 7,258,055,400
  4. Step 4: Simplify right side
    4,851,633,166.50x = 52,679,368,189,469,163,520
  5. Step 5: Solve for x
    x = 52,679,368,189,469,163,520/4,851,633,166.50
  6. Step 6: Final answer
    x = 10,858,069,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.