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Finding the Third Proportional to 9,661,896 and 21,060,000

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Solution

The third proportional to 9,661,896 and 21,060,000 is: 45,904,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661,896 : 21,060,000 = 21,060,000 : x
  2. Step 2: Convert to fraction form
    9,661,896/21,060,000 = 21,060,000/x
  3. Step 3: Cross multiply
    9,661,896x = 21,060,000 × 21,060,000
  4. Step 4: Simplify right side
    9,661,896x = 443,523,600,000,000
  5. Step 5: Solve for x
    x = 443,523,600,000,000/9,661,896
  6. Step 6: Final answer
    x = 45,904,406.34

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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.