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Finding the Third Proportional to 6,917,978,851,994.20 and 14,877,089,733,596

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Solution

The third proportional to 6,917,978,851,994.20 and 14,877,089,733,596 is: 31,993,130,316,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,978,851,994.20 : 14,877,089,733,596 = 14,877,089,733,596 : x
  2. Step 2: Convert to fraction form
    6,917,978,851,994.20/14,877,089,733,596 = 14,877,089,733,596/x
  3. Step 3: Cross multiply
    6,917,978,851,994.20x = 14,877,089,733,596 × 14,877,089,733,596
  4. Step 4: Simplify right side
    6,917,978,851,994.20x = 221,327,798,941,467,486,474,731,520
  5. Step 5: Solve for x
    x = 221,327,798,941,467,486,474,731,520/6,917,978,851,994.20
  6. Step 6: Final answer
    x = 31,993,130,316,908.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.