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Finding the Third Proportional to 4,146,890,405.06 and 9,139,049,138.81

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Solution

The third proportional to 4,146,890,405.06 and 9,139,049,138.81 is: 20,140,927,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,890,405.06 : 9,139,049,138.81 = 9,139,049,138.81 : x
  2. Step 2: Convert to fraction form
    4,146,890,405.06/9,139,049,138.81 = 9,139,049,138.81/x
  3. Step 3: Cross multiply
    4,146,890,405.06x = 9,139,049,138.81 × 9,139,049,138.81
  4. Step 4: Simplify right side
    4,146,890,405.06x = 83,522,219,161,629,491,200
  5. Step 5: Solve for x
    x = 83,522,219,161,629,491,200/4,146,890,405.06
  6. Step 6: Final answer
    x = 20,140,927,539.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.