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Finding the Third Proportional to 6,984,164 and 10,775,295

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Solution

The third proportional to 6,984,164 and 10,775,295 is: 16,624,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,164 : 10,775,295 = 10,775,295 : x
  2. Step 2: Convert to fraction form
    6,984,164/10,775,295 = 10,775,295/x
  3. Step 3: Cross multiply
    6,984,164x = 10,775,295 × 10,775,295
  4. Step 4: Simplify right side
    6,984,164x = 116,106,982,337,025
  5. Step 5: Solve for x
    x = 116,106,982,337,025/6,984,164
  6. Step 6: Final answer
    x = 16,624,320.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.