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Finding the Third Proportional to 8,020,433 and 17,319,271

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Solution

The third proportional to 8,020,433 and 17,319,271 is: 37,399,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,433 : 17,319,271 = 17,319,271 : x
  2. Step 2: Convert to fraction form
    8,020,433/17,319,271 = 17,319,271/x
  3. Step 3: Cross multiply
    8,020,433x = 17,319,271 × 17,319,271
  4. Step 4: Simplify right side
    8,020,433x = 299,957,147,971,441
  5. Step 5: Solve for x
    x = 299,957,147,971,441/8,020,433
  6. Step 6: Final answer
    x = 37,399,121.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.