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Finding the Third Proportional to 27,112,315 and 41,303,742

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Solution

The third proportional to 27,112,315 and 41,303,742 is: 62,923,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112,315 : 41,303,742 = 41,303,742 : x
  2. Step 2: Convert to fraction form
    27,112,315/41,303,742 = 41,303,742/x
  3. Step 3: Cross multiply
    27,112,315x = 41,303,742 × 41,303,742
  4. Step 4: Simplify right side
    27,112,315x = 1,705,999,103,202,564
  5. Step 5: Solve for x
    x = 1,705,999,103,202,564/27,112,315
  6. Step 6: Final answer
    x = 62,923,402.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.