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Finding the Third Proportional to 5,428,594.69 and 8,270,088.47

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Solution

The third proportional to 5,428,594.69 and 8,270,088.47 is: 12,598,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428,594.69 : 8,270,088.47 = 8,270,088.47 : x
  2. Step 2: Convert to fraction form
    5,428,594.69/8,270,088.47 = 8,270,088.47/x
  3. Step 3: Cross multiply
    5,428,594.69x = 8,270,088.47 × 8,270,088.47
  4. Step 4: Simplify right side
    5,428,594.69x = 68,394,363,280,951.72
  5. Step 5: Solve for x
    x = 68,394,363,280,951.72/5,428,594.69
  6. Step 6: Final answer
    x = 12,598,907.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.