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Finding the Third Proportional to 9,638,514 and 20,271,015

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Solution

The third proportional to 9,638,514 and 20,271,015 is: 42,632,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,514 : 20,271,015 = 20,271,015 : x
  2. Step 2: Convert to fraction form
    9,638,514/20,271,015 = 20,271,015/x
  3. Step 3: Cross multiply
    9,638,514x = 20,271,015 × 20,271,015
  4. Step 4: Simplify right side
    9,638,514x = 410,914,049,130,225
  5. Step 5: Solve for x
    x = 410,914,049,130,225/9,638,514
  6. Step 6: Final answer
    x = 42,632,510.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.