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Finding the Third Proportional to 5,146,210 and 11,000,648

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Solution

The third proportional to 5,146,210 and 11,000,648 is: 23,515,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,210 : 11,000,648 = 11,000,648 : x
  2. Step 2: Convert to fraction form
    5,146,210/11,000,648 = 11,000,648/x
  3. Step 3: Cross multiply
    5,146,210x = 11,000,648 × 11,000,648
  4. Step 4: Simplify right side
    5,146,210x = 121,014,256,419,904
  5. Step 5: Solve for x
    x = 121,014,256,419,904/5,146,210
  6. Step 6: Final answer
    x = 23,515,219.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.