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Finding the Third Proportional to 4,503,087,493,033 and 6,341,339,488,198

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Solution

The third proportional to 4,503,087,493,033 and 6,341,339,488,198 is: 8,930,003,373,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503,087,493,033 : 6,341,339,488,198 = 6,341,339,488,198 : x
  2. Step 2: Convert to fraction form
    4,503,087,493,033/6,341,339,488,198 = 6,341,339,488,198/x
  3. Step 3: Cross multiply
    4,503,087,493,033x = 6,341,339,488,198 × 6,341,339,488,198
  4. Step 4: Simplify right side
    4,503,087,493,033x = 40,212,586,504,579,274,751,606,784
  5. Step 5: Solve for x
    x = 40,212,586,504,579,274,751,606,784/4,503,087,493,033
  6. Step 6: Final answer
    x = 8,930,003,373,639.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.