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Finding the Third Proportional to 7,737,742.69 and 16,397,169.19

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Solution

The third proportional to 7,737,742.69 and 16,397,169.19 is: 34,747,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737,742.69 : 16,397,169.19 = 16,397,169.19 : x
  2. Step 2: Convert to fraction form
    7,737,742.69/16,397,169.19 = 16,397,169.19/x
  3. Step 3: Cross multiply
    7,737,742.69x = 16,397,169.19 × 16,397,169.19
  4. Step 4: Simplify right side
    7,737,742.69x = 268,867,157,363,499.41
  5. Step 5: Solve for x
    x = 268,867,157,363,499.41/7,737,742.69
  6. Step 6: Final answer
    x = 34,747,492.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.