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Finding the Third Proportional to 5,248,941.75 and 7,505,995.50

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Solution

The third proportional to 5,248,941.75 and 7,505,995.50 is: 10,733,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,941.75 : 7,505,995.50 = 7,505,995.50 : x
  2. Step 2: Convert to fraction form
    5,248,941.75/7,505,995.50 = 7,505,995.50/x
  3. Step 3: Cross multiply
    5,248,941.75x = 7,505,995.50 × 7,505,995.50
  4. Step 4: Simplify right side
    5,248,941.75x = 56,339,968,446,020.25
  5. Step 5: Solve for x
    x = 56,339,968,446,020.25/5,248,941.75
  6. Step 6: Final answer
    x = 10,733,586.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.