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Finding the Third Proportional to 9,827,252 and 21,264,208

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Solution

The third proportional to 9,827,252 and 21,264,208 is: 46,011,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,252 : 21,264,208 = 21,264,208 : x
  2. Step 2: Convert to fraction form
    9,827,252/21,264,208 = 21,264,208/x
  3. Step 3: Cross multiply
    9,827,252x = 21,264,208 × 21,264,208
  4. Step 4: Simplify right side
    9,827,252x = 452,166,541,867,264
  5. Step 5: Solve for x
    x = 452,166,541,867,264/9,827,252
  6. Step 6: Final answer
    x = 46,011,493.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.