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Finding the Third Proportional to 4,503,087,493,038 and 6,341,339,488,203

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Solution

The third proportional to 4,503,087,493,038 and 6,341,339,488,203 is: 8,930,003,373,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503,087,493,038 : 6,341,339,488,203 = 6,341,339,488,203 : x
  2. Step 2: Convert to fraction form
    4,503,087,493,038/6,341,339,488,203 = 6,341,339,488,203/x
  3. Step 3: Cross multiply
    4,503,087,493,038x = 6,341,339,488,203 × 6,341,339,488,203
  4. Step 4: Simplify right side
    4,503,087,493,038x = 40,212,586,504,642,685,648,764,928
  5. Step 5: Solve for x
    x = 40,212,586,504,642,685,648,764,928/4,503,087,493,038
  6. Step 6: Final answer
    x = 8,930,003,373,643.83

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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.