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Finding the Third Proportional to 6,553,110,722 and 14,441,954,110

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Solution

The third proportional to 6,553,110,722 and 14,441,954,110 is: 31,827,638,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,110,722 : 14,441,954,110 = 14,441,954,110 : x
  2. Step 2: Convert to fraction form
    6,553,110,722/14,441,954,110 = 14,441,954,110/x
  3. Step 3: Cross multiply
    6,553,110,722x = 14,441,954,110 × 14,441,954,110
  4. Step 4: Simplify right side
    6,553,110,722x = 208,570,038,515,345,883,136
  5. Step 5: Solve for x
    x = 208,570,038,515,345,883,136/6,553,110,722
  6. Step 6: Final answer
    x = 31,827,638,409.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.