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Finding the Third Proportional to 2,866,925,198 and 6,758,139,798

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Solution

The third proportional to 2,866,925,198 and 6,758,139,798 is: 15,930,814,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,925,198 : 6,758,139,798 = 6,758,139,798 : x
  2. Step 2: Convert to fraction form
    2,866,925,198/6,758,139,798 = 6,758,139,798/x
  3. Step 3: Cross multiply
    2,866,925,198x = 6,758,139,798 × 6,758,139,798
  4. Step 4: Simplify right side
    2,866,925,198x = 45,672,453,529,311,477,760
  5. Step 5: Solve for x
    x = 45,672,453,529,311,477,760/2,866,925,198
  6. Step 6: Final answer
    x = 15,930,814,505.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.