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Finding the Third Proportional to 6,771,012.75 and 10,496,050.88

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Solution

The third proportional to 6,771,012.75 and 10,496,050.88 is: 16,270,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771,012.75 : 10,496,050.88 = 10,496,050.88 : x
  2. Step 2: Convert to fraction form
    6,771,012.75/10,496,050.88 = 10,496,050.88/x
  3. Step 3: Cross multiply
    6,771,012.75x = 10,496,050.88 × 10,496,050.88
  4. Step 4: Simplify right side
    6,771,012.75x = 110,167,083,970,588.27
  5. Step 5: Solve for x
    x = 110,167,083,970,588.27/6,771,012.75
  6. Step 6: Final answer
    x = 16,270,399.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.