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Finding the Third Proportional to 24,718,317.50 and 52,239,150.50

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Solution

The third proportional to 24,718,317.50 and 52,239,150.50 is: 110,401,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718,317.50 : 52,239,150.50 = 52,239,150.50 : x
  2. Step 2: Convert to fraction form
    24,718,317.50/52,239,150.50 = 52,239,150.50/x
  3. Step 3: Cross multiply
    24,718,317.50x = 52,239,150.50 × 52,239,150.50
  4. Step 4: Simplify right side
    24,718,317.50x = 2,728,928,844,961,650
  5. Step 5: Solve for x
    x = 2,728,928,844,961,650/24,718,317.50
  6. Step 6: Final answer
    x = 110,401,075.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.