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Finding the Third Proportional to 2,031,311,197 and 2,860,533,784.50

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Solution

The third proportional to 2,031,311,197 and 2,860,533,784.50 is: 4,028,261,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,311,197 : 2,860,533,784.50 = 2,860,533,784.50 : x
  2. Step 2: Convert to fraction form
    2,031,311,197/2,860,533,784.50 = 2,860,533,784.50/x
  3. Step 3: Cross multiply
    2,031,311,197x = 2,860,533,784.50 × 2,860,533,784.50
  4. Step 4: Simplify right side
    2,031,311,197x = 8,182,653,532,265,892,864
  5. Step 5: Solve for x
    x = 8,182,653,532,265,892,864/2,031,311,197
  6. Step 6: Final answer
    x = 4,028,261,914.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.