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Finding the Third Proportional to 6,294,786.75 and 10,009,680.75

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Solution

The third proportional to 6,294,786.75 and 10,009,680.75 is: 15,916,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294,786.75 : 10,009,680.75 = 10,009,680.75 : x
  2. Step 2: Convert to fraction form
    6,294,786.75/10,009,680.75 = 10,009,680.75/x
  3. Step 3: Cross multiply
    6,294,786.75x = 10,009,680.75 × 10,009,680.75
  4. Step 4: Simplify right side
    6,294,786.75x = 100,193,708,716,920.56
  5. Step 5: Solve for x
    x = 100,193,708,716,920.56/6,294,786.75
  6. Step 6: Final answer
    x = 15,916,934.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.