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Finding the Third Proportional to 6,969,435 and 14,947,767

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Solution

The third proportional to 6,969,435 and 14,947,767 is: 32,059,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969,435 : 14,947,767 = 14,947,767 : x
  2. Step 2: Convert to fraction form
    6,969,435/14,947,767 = 14,947,767/x
  3. Step 3: Cross multiply
    6,969,435x = 14,947,767 × 14,947,767
  4. Step 4: Simplify right side
    6,969,435x = 223,435,738,286,289
  5. Step 5: Solve for x
    x = 223,435,738,286,289/6,969,435
  6. Step 6: Final answer
    x = 32,059,376.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.