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Finding the Third Proportional to 1,538,948,453 and 3,120,719,955.50

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Solution

The third proportional to 1,538,948,453 and 3,120,719,955.50 is: 6,328,277,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,948,453 : 3,120,719,955.50 = 3,120,719,955.50 : x
  2. Step 2: Convert to fraction form
    1,538,948,453/3,120,719,955.50 = 3,120,719,955.50/x
  3. Step 3: Cross multiply
    1,538,948,453x = 3,120,719,955.50 × 3,120,719,955.50
  4. Step 4: Simplify right side
    1,538,948,453x = 9,738,893,040,655,921,152
  5. Step 5: Solve for x
    x = 9,738,893,040,655,921,152/1,538,948,453
  6. Step 6: Final answer
    x = 6,328,277,611.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.