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Finding the Third Proportional to 7,747,766.53 and 16,890,567.61

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Solution

The third proportional to 7,747,766.53 and 16,890,567.61 is: 36,822,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747,766.53 : 16,890,567.61 = 16,890,567.61 : x
  2. Step 2: Convert to fraction form
    7,747,766.53/16,890,567.61 = 16,890,567.61/x
  3. Step 3: Cross multiply
    7,747,766.53x = 16,890,567.61 × 16,890,567.61
  4. Step 4: Simplify right side
    7,747,766.53x = 285,291,274,166,867.88
  5. Step 5: Solve for x
    x = 285,291,274,166,867.88/7,747,766.53
  6. Step 6: Final answer
    x = 36,822,389.14

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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.