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Finding the Third Proportional to 6,553,110,861 and 14,441,954,395

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Solution

The third proportional to 6,553,110,861 and 14,441,954,395 is: 31,827,638,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,110,861 : 14,441,954,395 = 14,441,954,395 : x
  2. Step 2: Convert to fraction form
    6,553,110,861/14,441,954,395 = 14,441,954,395/x
  3. Step 3: Cross multiply
    6,553,110,861x = 14,441,954,395 × 14,441,954,395
  4. Step 4: Simplify right side
    6,553,110,861x = 208,570,046,747,259,830,272
  5. Step 5: Solve for x
    x = 208,570,046,747,259,830,272/6,553,110,861
  6. Step 6: Final answer
    x = 31,827,638,990.29

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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.