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Finding the Third Proportional to 31,874,458,847.50 and 47,636,010,935

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Solution

The third proportional to 31,874,458,847.50 and 47,636,010,935 is: 71,191,468,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874,458,847.50 : 47,636,010,935 = 47,636,010,935 : x
  2. Step 2: Convert to fraction form
    31,874,458,847.50/47,636,010,935 = 47,636,010,935/x
  3. Step 3: Cross multiply
    31,874,458,847.50x = 47,636,010,935 × 47,636,010,935
  4. Step 4: Simplify right side
    31,874,458,847.50x = 2,269,189,537,799,439,646,720
  5. Step 5: Solve for x
    x = 2,269,189,537,799,439,646,720/31,874,458,847.50
  6. Step 6: Final answer
    x = 71,191,468,650.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.