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Finding the Third Proportional to 9,432,576 and 20,210,928

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Solution

The third proportional to 9,432,576 and 20,210,928 is: 43,305,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432,576 : 20,210,928 = 20,210,928 : x
  2. Step 2: Convert to fraction form
    9,432,576/20,210,928 = 20,210,928/x
  3. Step 3: Cross multiply
    9,432,576x = 20,210,928 × 20,210,928
  4. Step 4: Simplify right side
    9,432,576x = 408,481,610,621,184
  5. Step 5: Solve for x
    x = 408,481,610,621,184/9,432,576
  6. Step 6: Final answer
    x = 43,305,414.20

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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.