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Finding the Third Proportional to 7,740,682,650 and 11,953,214,685

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Solution

The third proportional to 7,740,682,650 and 11,953,214,685 is: 18,458,235,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740,682,650 : 11,953,214,685 = 11,953,214,685 : x
  2. Step 2: Convert to fraction form
    7,740,682,650/11,953,214,685 = 11,953,214,685/x
  3. Step 3: Cross multiply
    7,740,682,650x = 11,953,214,685 × 11,953,214,685
  4. Step 4: Simplify right side
    7,740,682,650x = 142,879,341,305,699,647,488
  5. Step 5: Solve for x
    x = 142,879,341,305,699,647,488/7,740,682,650
  6. Step 6: Final answer
    x = 18,458,235,244.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.