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Finding the Third Proportional to 4,645,201 and 10,002,271

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Solution

The third proportional to 4,645,201 and 10,002,271 is: 21,537,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,201 : 10,002,271 = 10,002,271 : x
  2. Step 2: Convert to fraction form
    4,645,201/10,002,271 = 10,002,271/x
  3. Step 3: Cross multiply
    4,645,201x = 10,002,271 × 10,002,271
  4. Step 4: Simplify right side
    4,645,201x = 100,045,425,157,441
  5. Step 5: Solve for x
    x = 100,045,425,157,441/4,645,201
  6. Step 6: Final answer
    x = 21,537,372.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.