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Finding the Third Proportional to 5,143,776 and 10,996,176

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Solution

The third proportional to 5,143,776 and 10,996,176 is: 23,507,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,776 : 10,996,176 = 10,996,176 : x
  2. Step 2: Convert to fraction form
    5,143,776/10,996,176 = 10,996,176/x
  3. Step 3: Cross multiply
    5,143,776x = 10,996,176 × 10,996,176
  4. Step 4: Simplify right side
    5,143,776x = 120,915,886,622,976
  5. Step 5: Solve for x
    x = 120,915,886,622,976/5,143,776
  6. Step 6: Final answer
    x = 23,507,222.44

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Why These Related Problems?

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