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Finding the Third Proportional to 4,207,021 and 9,042,476

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Solution

The third proportional to 4,207,021 and 9,042,476 is: 19,435,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,021 : 9,042,476 = 9,042,476 : x
  2. Step 2: Convert to fraction form
    4,207,021/9,042,476 = 9,042,476/x
  3. Step 3: Cross multiply
    4,207,021x = 9,042,476 × 9,042,476
  4. Step 4: Simplify right side
    4,207,021x = 81,766,372,210,576
  5. Step 5: Solve for x
    x = 81,766,372,210,576/4,207,021
  6. Step 6: Final answer
    x = 19,435,693.86

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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.