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Finding the Third Proportional to 10,225,816 and 16,279,178

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Solution

The third proportional to 10,225,816 and 16,279,178 is: 25,915,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,816 : 16,279,178 = 16,279,178 : x
  2. Step 2: Convert to fraction form
    10,225,816/16,279,178 = 16,279,178/x
  3. Step 3: Cross multiply
    10,225,816x = 16,279,178 × 16,279,178
  4. Step 4: Simplify right side
    10,225,816x = 265,011,636,355,684
  5. Step 5: Solve for x
    x = 265,011,636,355,684/10,225,816
  6. Step 6: Final answer
    x = 25,915,940.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.