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Finding the Third Proportional to 9,031,203 and 12,874,140

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Solution

The third proportional to 9,031,203 and 12,874,140 is: 18,352,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,203 : 12,874,140 = 12,874,140 : x
  2. Step 2: Convert to fraction form
    9,031,203/12,874,140 = 12,874,140/x
  3. Step 3: Cross multiply
    9,031,203x = 12,874,140 × 12,874,140
  4. Step 4: Simplify right side
    9,031,203x = 165,743,480,739,600
  5. Step 5: Solve for x
    x = 165,743,480,739,600/9,031,203
  6. Step 6: Final answer
    x = 18,352,314.83

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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.