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Finding the Third Proportional to 6,377,428.69 and 6,561,136.69

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Solution

The third proportional to 6,377,428.69 and 6,561,136.69 is: 6,750,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,428.69 : 6,561,136.69 = 6,561,136.69 : x
  2. Step 2: Convert to fraction form
    6,377,428.69/6,561,136.69 = 6,561,136.69/x
  3. Step 3: Cross multiply
    6,377,428.69x = 6,561,136.69 × 6,561,136.69
  4. Step 4: Simplify right side
    6,377,428.69x = 43,048,514,632,058.47
  5. Step 5: Solve for x
    x = 43,048,514,632,058.47/6,377,428.69
  6. Step 6: Final answer
    x = 6,750,136.57

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.