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Finding the Third Proportional to 6,972,945.75 and 15,104,029.50

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Solution

The third proportional to 6,972,945.75 and 15,104,029.50 is: 32,716,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972,945.75 : 15,104,029.50 = 15,104,029.50 : x
  2. Step 2: Convert to fraction form
    6,972,945.75/15,104,029.50 = 15,104,029.50/x
  3. Step 3: Cross multiply
    6,972,945.75x = 15,104,029.50 × 15,104,029.50
  4. Step 4: Simplify right side
    6,972,945.75x = 228,131,707,136,870.25
  5. Step 5: Solve for x
    x = 228,131,707,136,870.25/6,972,945.75
  6. Step 6: Final answer
    x = 32,716,690.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.