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Finding the Third Proportional to 8,848,669,914 and 18,959,481,753.75

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Solution

The third proportional to 8,848,669,914 and 18,959,481,753.75 is: 40,623,274,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848,669,914 : 18,959,481,753.75 = 18,959,481,753.75 : x
  2. Step 2: Convert to fraction form
    8,848,669,914/18,959,481,753.75 = 18,959,481,753.75/x
  3. Step 3: Cross multiply
    8,848,669,914x = 18,959,481,753.75 × 18,959,481,753.75
  4. Step 4: Simplify right side
    8,848,669,914x = 359,461,948,370,779,176,960
  5. Step 5: Solve for x
    x = 359,461,948,370,779,176,960/8,848,669,914
  6. Step 6: Final answer
    x = 40,623,274,668.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.