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Finding the Third Proportional to 4,489,872 and 9,849,000

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Solution

The third proportional to 4,489,872 and 9,849,000 is: 21,604,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,872 : 9,849,000 = 9,849,000 : x
  2. Step 2: Convert to fraction form
    4,489,872/9,849,000 = 9,849,000/x
  3. Step 3: Cross multiply
    4,489,872x = 9,849,000 × 9,849,000
  4. Step 4: Simplify right side
    4,489,872x = 97,002,801,000,000
  5. Step 5: Solve for x
    x = 97,002,801,000,000/4,489,872
  6. Step 6: Final answer
    x = 21,604,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.