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Finding the Third Proportional to 2,509,648,396.50 and 3,796,750,026

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Solution

The third proportional to 2,509,648,396.50 and 3,796,750,026 is: 5,743,956,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,648,396.50 : 3,796,750,026 = 3,796,750,026 : x
  2. Step 2: Convert to fraction form
    2,509,648,396.50/3,796,750,026 = 3,796,750,026/x
  3. Step 3: Cross multiply
    2,509,648,396.50x = 3,796,750,026 × 3,796,750,026
  4. Step 4: Simplify right side
    2,509,648,396.50x = 14,415,310,759,931,000,832
  5. Step 5: Solve for x
    x = 14,415,310,759,931,000,832/2,509,648,396.50
  6. Step 6: Final answer
    x = 5,743,956,316.76

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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.