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Finding the Third Proportional to 6,553,110,866 and 14,441,954,406

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Solution

The third proportional to 6,553,110,866 and 14,441,954,406 is: 31,827,639,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,110,866 : 14,441,954,406 = 14,441,954,406 : x
  2. Step 2: Convert to fraction form
    6,553,110,866/14,441,954,406 = 14,441,954,406/x
  3. Step 3: Cross multiply
    6,553,110,866x = 14,441,954,406 × 14,441,954,406
  4. Step 4: Simplify right side
    6,553,110,866x = 208,570,047,064,982,814,720
  5. Step 5: Solve for x
    x = 208,570,047,064,982,814,720/6,553,110,866
  6. Step 6: Final answer
    x = 31,827,639,014.49

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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.