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Finding the Third Proportional to 7,674,240 and 16,411,872

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Solution

The third proportional to 7,674,240 and 16,411,872 is: 35,097,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,240 : 16,411,872 = 16,411,872 : x
  2. Step 2: Convert to fraction form
    7,674,240/16,411,872 = 16,411,872/x
  3. Step 3: Cross multiply
    7,674,240x = 16,411,872 × 16,411,872
  4. Step 4: Simplify right side
    7,674,240x = 269,349,542,544,384
  5. Step 5: Solve for x
    x = 269,349,542,544,384/7,674,240
  6. Step 6: Final answer
    x = 35,097,878.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.