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Finding the Third Proportional to 9,850,768,266 and 15,265,978,596

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Solution

The third proportional to 9,850,768,266 and 15,265,978,596 is: 23,658,063,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,768,266 : 15,265,978,596 = 15,265,978,596 : x
  2. Step 2: Convert to fraction form
    9,850,768,266/15,265,978,596 = 15,265,978,596/x
  3. Step 3: Cross multiply
    9,850,768,266x = 15,265,978,596 × 15,265,978,596
  4. Step 4: Simplify right side
    9,850,768,266x = 233,050,102,493,530,128,384
  5. Step 5: Solve for x
    x = 233,050,102,493,530,128,384/9,850,768,266
  6. Step 6: Final answer
    x = 23,658,063,635.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.