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Finding the Third Proportional to 9,790,498 and 21,208,148

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Solution

The third proportional to 9,790,498 and 21,208,148 is: 45,941,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,498 : 21,208,148 = 21,208,148 : x
  2. Step 2: Convert to fraction form
    9,790,498/21,208,148 = 21,208,148/x
  3. Step 3: Cross multiply
    9,790,498x = 21,208,148 × 21,208,148
  4. Step 4: Simplify right side
    9,790,498x = 449,785,541,589,904
  5. Step 5: Solve for x
    x = 449,785,541,589,904/9,790,498
  6. Step 6: Final answer
    x = 45,941,027.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.