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Finding the Third Proportional to 9,584,520 and 20,848,656

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Solution

The third proportional to 9,584,520 and 20,848,656 is: 45,350,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,520 : 20,848,656 = 20,848,656 : x
  2. Step 2: Convert to fraction form
    9,584,520/20,848,656 = 20,848,656/x
  3. Step 3: Cross multiply
    9,584,520x = 20,848,656 × 20,848,656
  4. Step 4: Simplify right side
    9,584,520x = 434,666,457,006,336
  5. Step 5: Solve for x
    x = 434,666,457,006,336/9,584,520
  6. Step 6: Final answer
    x = 45,350,884.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.