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Finding the Third Proportional to 9,829,949 and 21,549,469

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Solution

The third proportional to 9,829,949 and 21,549,469 is: 47,241,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,949 : 21,549,469 = 21,549,469 : x
  2. Step 2: Convert to fraction form
    9,829,949/21,549,469 = 21,549,469/x
  3. Step 3: Cross multiply
    9,829,949x = 21,549,469 × 21,549,469
  4. Step 4: Simplify right side
    9,829,949x = 464,379,614,181,961
  5. Step 5: Solve for x
    x = 464,379,614,181,961/9,829,949
  6. Step 6: Final answer
    x = 47,241,304.53

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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.