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Finding the Third Proportional to 6,984,162 and 10,775,292

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Solution

The third proportional to 6,984,162 and 10,775,292 is: 16,624,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,162 : 10,775,292 = 10,775,292 : x
  2. Step 2: Convert to fraction form
    6,984,162/10,775,292 = 10,775,292/x
  3. Step 3: Cross multiply
    6,984,162x = 10,775,292 × 10,775,292
  4. Step 4: Simplify right side
    6,984,162x = 116,106,917,685,264
  5. Step 5: Solve for x
    x = 116,106,917,685,264/6,984,162
  6. Step 6: Final answer
    x = 16,624,316.23

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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.