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Finding the Third Proportional to 38,024,919 and 82,111,401

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Solution

The third proportional to 38,024,919 and 82,111,401 is: 177,312,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,919 : 82,111,401 = 82,111,401 : x
  2. Step 2: Convert to fraction form
    38,024,919/82,111,401 = 82,111,401/x
  3. Step 3: Cross multiply
    38,024,919x = 82,111,401 × 82,111,401
  4. Step 4: Simplify right side
    38,024,919x = 6,742,282,174,182,801
  5. Step 5: Solve for x
    x = 6,742,282,174,182,801/38,024,919
  6. Step 6: Final answer
    x = 177,312,203.46

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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.