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Finding the Third Proportional to 4,238,031 and 9,282,255

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Solution

The third proportional to 4,238,031 and 9,282,255 is: 20,330,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238,031 : 9,282,255 = 9,282,255 : x
  2. Step 2: Convert to fraction form
    4,238,031/9,282,255 = 9,282,255/x
  3. Step 3: Cross multiply
    4,238,031x = 9,282,255 × 9,282,255
  4. Step 4: Simplify right side
    4,238,031x = 86,160,257,885,025
  5. Step 5: Solve for x
    x = 86,160,257,885,025/4,238,031
  6. Step 6: Final answer
    x = 20,330,256.64

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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.