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Finding the Third Proportional to 32,026,105,149 and 66,702,991,557

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Solution

The third proportional to 32,026,105,149 and 66,702,991,557 is: 138,926,949,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,105,149 : 66,702,991,557 = 66,702,991,557 : x
  2. Step 2: Convert to fraction form
    32,026,105,149/66,702,991,557 = 66,702,991,557/x
  3. Step 3: Cross multiply
    32,026,105,149x = 66,702,991,557 × 66,702,991,557
  4. Step 4: Simplify right side
    32,026,105,149x = 4,449,289,082,653,213,458,432
  5. Step 5: Solve for x
    x = 4,449,289,082,653,213,458,432/32,026,105,149
  6. Step 6: Final answer
    x = 138,926,949,185.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.