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Finding the Third Proportional to 10,871,186.16 and 23,444,644.27

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Solution

The third proportional to 10,871,186.16 and 23,444,644.27 is: 50,560,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871,186.16 : 23,444,644.27 = 23,444,644.27 : x
  2. Step 2: Convert to fraction form
    10,871,186.16/23,444,644.27 = 23,444,644.27/x
  3. Step 3: Cross multiply
    10,871,186.16x = 23,444,644.27 × 23,444,644.27
  4. Step 4: Simplify right side
    10,871,186.16x = 549,651,345,016,427.50
  5. Step 5: Solve for x
    x = 549,651,345,016,427.50/10,871,186.16
  6. Step 6: Final answer
    x = 50,560,383.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.