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Finding the Third Proportional to 5,096,155,611 and 11,074,435,384.50

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Solution

The third proportional to 5,096,155,611 and 11,074,435,384.50 is: 24,065,811,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,155,611 : 11,074,435,384.50 = 11,074,435,384.50 : x
  2. Step 2: Convert to fraction form
    5,096,155,611/11,074,435,384.50 = 11,074,435,384.50/x
  3. Step 3: Cross multiply
    5,096,155,611x = 11,074,435,384.50 × 11,074,435,384.50
  4. Step 4: Simplify right side
    5,096,155,611x = 122,643,119,085,465,665,536
  5. Step 5: Solve for x
    x = 122,643,119,085,465,665,536/5,096,155,611
  6. Step 6: Final answer
    x = 24,065,811,259.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.