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Finding the Third Proportional to 11,499,025 and 23,335,950

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Solution

The third proportional to 11,499,025 and 23,335,950 is: 47,357,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499,025 : 23,335,950 = 23,335,950 : x
  2. Step 2: Convert to fraction form
    11,499,025/23,335,950 = 23,335,950/x
  3. Step 3: Cross multiply
    11,499,025x = 23,335,950 × 23,335,950
  4. Step 4: Simplify right side
    11,499,025x = 544,566,562,402,500
  5. Step 5: Solve for x
    x = 544,566,562,402,500/11,499,025
  6. Step 6: Final answer
    x = 47,357,629.23

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.