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Finding the Third Proportional to 4,581,576 and 9,871,251

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Solution

The third proportional to 4,581,576 and 9,871,251 is: 21,268,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,576 : 9,871,251 = 9,871,251 : x
  2. Step 2: Convert to fraction form
    4,581,576/9,871,251 = 9,871,251/x
  3. Step 3: Cross multiply
    4,581,576x = 9,871,251 × 9,871,251
  4. Step 4: Simplify right side
    4,581,576x = 97,441,596,305,001
  5. Step 5: Solve for x
    x = 97,441,596,305,001/4,581,576
  6. Step 6: Final answer
    x = 21,268,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.