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Finding the Third Proportional to 9,261,764,754.75 and 12,496,295,160

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Solution

The third proportional to 9,261,764,754.75 and 12,496,295,160 is: 16,860,436,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261,764,754.75 : 12,496,295,160 = 12,496,295,160 : x
  2. Step 2: Convert to fraction form
    9,261,764,754.75/12,496,295,160 = 12,496,295,160/x
  3. Step 3: Cross multiply
    9,261,764,754.75x = 12,496,295,160 × 12,496,295,160
  4. Step 4: Simplify right side
    9,261,764,754.75x = 156,157,392,725,839,413,248
  5. Step 5: Solve for x
    x = 156,157,392,725,839,413,248/9,261,764,754.75
  6. Step 6: Final answer
    x = 16,860,436,089.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.