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Finding the Third Proportional to 10,540,800 and 23,009,184

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Solution

The third proportional to 10,540,800 and 23,009,184 is: 50,226,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540,800 : 23,009,184 = 23,009,184 : x
  2. Step 2: Convert to fraction form
    10,540,800/23,009,184 = 23,009,184/x
  3. Step 3: Cross multiply
    10,540,800x = 23,009,184 × 23,009,184
  4. Step 4: Simplify right side
    10,540,800x = 529,422,548,345,856
  5. Step 5: Solve for x
    x = 529,422,548,345,856/10,540,800
  6. Step 6: Final answer
    x = 50,226,031.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.