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Finding the Third Proportional to 9,986,272 and 21,515,201

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Solution

The third proportional to 9,986,272 and 21,515,201 is: 46,354,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,272 : 21,515,201 = 21,515,201 : x
  2. Step 2: Convert to fraction form
    9,986,272/21,515,201 = 21,515,201/x
  3. Step 3: Cross multiply
    9,986,272x = 21,515,201 × 21,515,201
  4. Step 4: Simplify right side
    9,986,272x = 462,903,874,070,401
  5. Step 5: Solve for x
    x = 462,903,874,070,401/9,986,272
  6. Step 6: Final answer
    x = 46,354,022.21

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Why These Related Problems?

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