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Finding the Third Proportional to 4,634,178 and 10,092,206

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Solution

The third proportional to 4,634,178 and 10,092,206 is: 21,978,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634,178 : 10,092,206 = 10,092,206 : x
  2. Step 2: Convert to fraction form
    4,634,178/10,092,206 = 10,092,206/x
  3. Step 3: Cross multiply
    4,634,178x = 10,092,206 × 10,092,206
  4. Step 4: Simplify right side
    4,634,178x = 101,852,621,946,436
  5. Step 5: Solve for x
    x = 101,852,621,946,436/4,634,178
  6. Step 6: Final answer
    x = 21,978,573.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.