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Finding the Third Proportional to 5,027,348 and 10,763,257

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Solution

The third proportional to 5,027,348 and 10,763,257 is: 23,043,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027,348 : 10,763,257 = 10,763,257 : x
  2. Step 2: Convert to fraction form
    5,027,348/10,763,257 = 10,763,257/x
  3. Step 3: Cross multiply
    5,027,348x = 10,763,257 × 10,763,257
  4. Step 4: Simplify right side
    5,027,348x = 115,847,701,248,049
  5. Step 5: Solve for x
    x = 115,847,701,248,049/5,027,348
  6. Step 6: Final answer
    x = 23,043,501.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.