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Finding the Third Proportional to 27,370,415 and 38,265,451

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Solution

The third proportional to 27,370,415 and 38,265,451 is: 53,497,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370,415 : 38,265,451 = 38,265,451 : x
  2. Step 2: Convert to fraction form
    27,370,415/38,265,451 = 38,265,451/x
  3. Step 3: Cross multiply
    27,370,415x = 38,265,451 × 38,265,451
  4. Step 4: Simplify right side
    27,370,415x = 1,464,244,740,233,401
  5. Step 5: Solve for x
    x = 1,464,244,740,233,401/27,370,415
  6. Step 6: Final answer
    x = 53,497,352.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.