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Finding the Third Proportional to 6,498,532 and 14,080,700

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Solution

The third proportional to 6,498,532 and 14,080,700 is: 30,509,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,532 : 14,080,700 = 14,080,700 : x
  2. Step 2: Convert to fraction form
    6,498,532/14,080,700 = 14,080,700/x
  3. Step 3: Cross multiply
    6,498,532x = 14,080,700 × 14,080,700
  4. Step 4: Simplify right side
    6,498,532x = 198,266,112,490,000
  5. Step 5: Solve for x
    x = 198,266,112,490,000/6,498,532
  6. Step 6: Final answer
    x = 30,509,369.27

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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.