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Finding the Third Proportional to 18,065,773,134 and 39,133,518,697.50

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Solution

The third proportional to 18,065,773,134 and 39,133,518,697.50 is: 84,769,817,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065,773,134 : 39,133,518,697.50 = 39,133,518,697.50 : x
  2. Step 2: Convert to fraction form
    18,065,773,134/39,133,518,697.50 = 39,133,518,697.50/x
  3. Step 3: Cross multiply
    18,065,773,134x = 39,133,518,697.50 × 39,133,518,697.50
  4. Step 4: Simplify right side
    18,065,773,134x = 1,531,432,285,647,582,003,200
  5. Step 5: Solve for x
    x = 1,531,432,285,647,582,003,200/18,065,773,134
  6. Step 6: Final answer
    x = 84,769,817,172.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.