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Finding the Third Proportional to 5,213,136,993,970 and 11,223,003,601,124

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Solution

The third proportional to 5,213,136,993,970 and 11,223,003,601,124 is: 24,161,231,515,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213,136,993,970 : 11,223,003,601,124 = 11,223,003,601,124 : x
  2. Step 2: Convert to fraction form
    5,213,136,993,970/11,223,003,601,124 = 11,223,003,601,124/x
  3. Step 3: Cross multiply
    5,213,136,993,970x = 11,223,003,601,124 × 11,223,003,601,124
  4. Step 4: Simplify right side
    5,213,136,993,970x = 125,955,809,830,842,280,357,920,768
  5. Step 5: Solve for x
    x = 125,955,809,830,842,280,357,920,768/5,213,136,993,970
  6. Step 6: Final answer
    x = 24,161,231,515,023.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.