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Finding the Third Proportional to 4,576,149 and 10,031,472

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Solution

The third proportional to 4,576,149 and 10,031,472 is: 21,990,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,149 : 10,031,472 = 10,031,472 : x
  2. Step 2: Convert to fraction form
    4,576,149/10,031,472 = 10,031,472/x
  3. Step 3: Cross multiply
    4,576,149x = 10,031,472 × 10,031,472
  4. Step 4: Simplify right side
    4,576,149x = 100,630,430,486,784
  5. Step 5: Solve for x
    x = 100,630,430,486,784/4,576,149
  6. Step 6: Final answer
    x = 21,990,199.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.