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Finding the Third Proportional to 6,189,882.68 and 13,575,506.98

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Solution

The third proportional to 6,189,882.68 and 13,575,506.98 is: 29,773,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189,882.68 : 13,575,506.98 = 13,575,506.98 : x
  2. Step 2: Convert to fraction form
    6,189,882.68/13,575,506.98 = 13,575,506.98/x
  3. Step 3: Cross multiply
    6,189,882.68x = 13,575,506.98 × 13,575,506.98
  4. Step 4: Simplify right side
    6,189,882.68x = 184,294,389,670,683.56
  5. Step 5: Solve for x
    x = 184,294,389,670,683.56/6,189,882.68
  6. Step 6: Final answer
    x = 29,773,486.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.