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Finding the Third Proportional to 7,747,766.44 and 16,890,567.40

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Solution

The third proportional to 7,747,766.44 and 16,890,567.40 is: 36,822,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747,766.44 : 16,890,567.40 = 16,890,567.40 : x
  2. Step 2: Convert to fraction form
    7,747,766.44/16,890,567.40 = 16,890,567.40/x
  3. Step 3: Cross multiply
    7,747,766.44x = 16,890,567.40 × 16,890,567.40
  4. Step 4: Simplify right side
    7,747,766.44x = 285,291,267,041,176.62
  5. Step 5: Solve for x
    x = 285,291,267,041,176.62/7,747,766.44
  6. Step 6: Final answer
    x = 36,822,388.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.