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Finding the Third Proportional to 16,497,684 and 24,958,863

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Solution

The third proportional to 16,497,684 and 24,958,863 is: 37,759,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497,684 : 24,958,863 = 24,958,863 : x
  2. Step 2: Convert to fraction form
    16,497,684/24,958,863 = 24,958,863/x
  3. Step 3: Cross multiply
    16,497,684x = 24,958,863 × 24,958,863
  4. Step 4: Simplify right side
    16,497,684x = 622,944,842,252,769
  5. Step 5: Solve for x
    x = 622,944,842,252,769/16,497,684
  6. Step 6: Final answer
    x = 37,759,532.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.