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Finding the Third Proportional to 901,632,358.69 and 1,379,261,980.69

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Solution

The third proportional to 901,632,358.69 and 1,379,261,980.69 is: 2,109,910,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,632,358.69 : 1,379,261,980.69 = 1,379,261,980.69 : x
  2. Step 2: Convert to fraction form
    901,632,358.69/1,379,261,980.69 = 1,379,261,980.69/x
  3. Step 3: Cross multiply
    901,632,358.69x = 1,379,261,980.69 × 1,379,261,980.69
  4. Step 4: Simplify right side
    901,632,358.69x = 1,902,363,611,370,005,504
  5. Step 5: Solve for x
    x = 1,902,363,611,370,005,504/901,632,358.69
  6. Step 6: Final answer
    x = 2,109,910,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.