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Finding the Third Proportional to 9,031,197 and 12,874,131

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Solution

The third proportional to 9,031,197 and 12,874,131 is: 18,352,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,197 : 12,874,131 = 12,874,131 : x
  2. Step 2: Convert to fraction form
    9,031,197/12,874,131 = 12,874,131/x
  3. Step 3: Cross multiply
    9,031,197x = 12,874,131 × 12,874,131
  4. Step 4: Simplify right side
    9,031,197x = 165,743,249,005,161
  5. Step 5: Solve for x
    x = 165,743,249,005,161/9,031,197
  6. Step 6: Final answer
    x = 18,352,301.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.