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Finding the Third Proportional to 3,191,747,474,717 and 4,766,705,971,559.60

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Solution

The third proportional to 3,191,747,474,717 and 4,766,705,971,559.60 is: 7,118,823,152,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,747,474,717 : 4,766,705,971,559.60 = 4,766,705,971,559.60 : x
  2. Step 2: Convert to fraction form
    3,191,747,474,717/4,766,705,971,559.60 = 4,766,705,971,559.60/x
  3. Step 3: Cross multiply
    3,191,747,474,717x = 4,766,705,971,559.60 × 4,766,705,971,559.60
  4. Step 4: Simplify right side
    3,191,747,474,717x = 22,721,485,819,301,948,580,429,824
  5. Step 5: Solve for x
    x = 22,721,485,819,301,948,580,429,824/3,191,747,474,717
  6. Step 6: Final answer
    x = 7,118,823,152,297.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.