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Finding the Third Proportional to 11,077,857 and 16,257,348

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Solution

The third proportional to 11,077,857 and 16,257,348 is: 23,858,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077,857 : 16,257,348 = 16,257,348 : x
  2. Step 2: Convert to fraction form
    11,077,857/16,257,348 = 16,257,348/x
  3. Step 3: Cross multiply
    11,077,857x = 16,257,348 × 16,257,348
  4. Step 4: Simplify right side
    11,077,857x = 264,301,363,993,104
  5. Step 5: Solve for x
    x = 264,301,363,993,104/11,077,857
  6. Step 6: Final answer
    x = 23,858,528.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.