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Finding the Third Proportional to 10,082,316 and 22,124,112

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Solution

The third proportional to 10,082,316 and 22,124,112 is: 48,548,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,316 : 22,124,112 = 22,124,112 : x
  2. Step 2: Convert to fraction form
    10,082,316/22,124,112 = 22,124,112/x
  3. Step 3: Cross multiply
    10,082,316x = 22,124,112 × 22,124,112
  4. Step 4: Simplify right side
    10,082,316x = 489,476,331,788,544
  5. Step 5: Solve for x
    x = 489,476,331,788,544/10,082,316
  6. Step 6: Final answer
    x = 48,548,005.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.