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Finding the Third Proportional to 10,374,504 and 16,668,864

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Solution

The third proportional to 10,374,504 and 16,668,864 is: 26,782,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374,504 : 16,668,864 = 16,668,864 : x
  2. Step 2: Convert to fraction form
    10,374,504/16,668,864 = 16,668,864/x
  3. Step 3: Cross multiply
    10,374,504x = 16,668,864 × 16,668,864
  4. Step 4: Simplify right side
    10,374,504x = 277,851,027,050,496
  5. Step 5: Solve for x
    x = 277,851,027,050,496/10,374,504
  6. Step 6: Final answer
    x = 26,782,102.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.