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Finding the Third Proportional to 6,761,240 and 14,668,956

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Solution

The third proportional to 6,761,240 and 14,668,956 is: 31,825,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761,240 : 14,668,956 = 14,668,956 : x
  2. Step 2: Convert to fraction form
    6,761,240/14,668,956 = 14,668,956/x
  3. Step 3: Cross multiply
    6,761,240x = 14,668,956 × 14,668,956
  4. Step 4: Simplify right side
    6,761,240x = 215,178,270,129,936
  5. Step 5: Solve for x
    x = 215,178,270,129,936/6,761,240
  6. Step 6: Final answer
    x = 31,825,267.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.