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Finding the Third Proportional to 6,180,698.25 and 9,092,354.63

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Solution

The third proportional to 6,180,698.25 and 9,092,354.63 is: 13,375,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180,698.25 : 9,092,354.63 = 9,092,354.63 : x
  2. Step 2: Convert to fraction form
    6,180,698.25/9,092,354.63 = 9,092,354.63/x
  3. Step 3: Cross multiply
    6,180,698.25x = 9,092,354.63 × 9,092,354.63
  4. Step 4: Simplify right side
    6,180,698.25x = 82,670,912,626,758.89
  5. Step 5: Solve for x
    x = 82,670,912,626,758.89/6,180,698.25
  6. Step 6: Final answer
    x = 13,375,659.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.