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Finding the Third Proportional to 7,774,200.75 and 11,462,010

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Solution

The third proportional to 7,774,200.75 and 11,462,010 is: 16,899,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774,200.75 : 11,462,010 = 11,462,010 : x
  2. Step 2: Convert to fraction form
    7,774,200.75/11,462,010 = 11,462,010/x
  3. Step 3: Cross multiply
    7,774,200.75x = 11,462,010 × 11,462,010
  4. Step 4: Simplify right side
    7,774,200.75x = 131,377,673,240,100
  5. Step 5: Solve for x
    x = 131,377,673,240,100/7,774,200.75
  6. Step 6: Final answer
    x = 16,899,187.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.