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Finding the Third Proportional to 11,170,697,475 and 16,659,175,234.50

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Solution

The third proportional to 11,170,697,475 and 16,659,175,234.50 is: 24,844,296,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170,697,475 : 16,659,175,234.50 = 16,659,175,234.50 : x
  2. Step 2: Convert to fraction form
    11,170,697,475/16,659,175,234.50 = 16,659,175,234.50/x
  3. Step 3: Cross multiply
    11,170,697,475x = 16,659,175,234.50 × 16,659,175,234.50
  4. Step 4: Simplify right side
    11,170,697,475x = 277,528,119,493,778,145,280
  5. Step 5: Solve for x
    x = 277,528,119,493,778,145,280/11,170,697,475
  6. Step 6: Final answer
    x = 24,844,296,438.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.