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Finding the Third Proportional to 11,589,475,833 and 25,104,297,163

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Solution

The third proportional to 11,589,475,833 and 25,104,297,163 is: 54,379,140,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,475,833 : 25,104,297,163 = 25,104,297,163 : x
  2. Step 2: Convert to fraction form
    11,589,475,833/25,104,297,163 = 25,104,297,163/x
  3. Step 3: Cross multiply
    11,589,475,833x = 25,104,297,163 × 25,104,297,163
  4. Step 4: Simplify right side
    11,589,475,833x = 630,225,736,048,209,821,696
  5. Step 5: Solve for x
    x = 630,225,736,048,209,821,696/11,589,475,833
  6. Step 6: Final answer
    x = 54,379,140,621.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.