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Finding the Third Proportional to 7,816,169 and 16,969,210

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Solution

The third proportional to 7,816,169 and 16,969,210 is: 36,840,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,169 : 16,969,210 = 16,969,210 : x
  2. Step 2: Convert to fraction form
    7,816,169/16,969,210 = 16,969,210/x
  3. Step 3: Cross multiply
    7,816,169x = 16,969,210 × 16,969,210
  4. Step 4: Simplify right side
    7,816,169x = 287,954,088,024,100
  5. Step 5: Solve for x
    x = 287,954,088,024,100/7,816,169
  6. Step 6: Final answer
    x = 36,840,821.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.