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Finding the Third Proportional to 6,584,838 and 14,376,252

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Solution

The third proportional to 6,584,838 and 14,376,252 is: 31,386,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,838 : 14,376,252 = 14,376,252 : x
  2. Step 2: Convert to fraction form
    6,584,838/14,376,252 = 14,376,252/x
  3. Step 3: Cross multiply
    6,584,838x = 14,376,252 × 14,376,252
  4. Step 4: Simplify right side
    6,584,838x = 206,676,621,567,504
  5. Step 5: Solve for x
    x = 206,676,621,567,504/6,584,838
  6. Step 6: Final answer
    x = 31,386,743.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.