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Finding the Third Proportional to 6,189,882.05 and 13,575,505.71

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Solution

The third proportional to 6,189,882.05 and 13,575,505.71 is: 29,773,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189,882.05 : 13,575,505.71 = 13,575,505.71 : x
  2. Step 2: Convert to fraction form
    6,189,882.05/13,575,505.71 = 13,575,505.71/x
  3. Step 3: Cross multiply
    6,189,882.05x = 13,575,505.71 × 13,575,505.71
  4. Step 4: Simplify right side
    6,189,882.05x = 184,294,355,307,710.22
  5. Step 5: Solve for x
    x = 184,294,355,307,710.22/6,189,882.05
  6. Step 6: Final answer
    x = 29,773,484.20

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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.