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Finding the Third Proportional to 6,746,684 and 14,751,622

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Solution

The third proportional to 6,746,684 and 14,751,622 is: 32,254,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,684 : 14,751,622 = 14,751,622 : x
  2. Step 2: Convert to fraction form
    6,746,684/14,751,622 = 14,751,622/x
  3. Step 3: Cross multiply
    6,746,684x = 14,751,622 × 14,751,622
  4. Step 4: Simplify right side
    6,746,684x = 217,610,351,630,884
  5. Step 5: Solve for x
    x = 217,610,351,630,884/6,746,684
  6. Step 6: Final answer
    x = 32,254,415.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.