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Finding the Third Proportional to 4,660,274 and 9,968,241

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Solution

The third proportional to 4,660,274 and 9,968,241 is: 21,321,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,274 : 9,968,241 = 9,968,241 : x
  2. Step 2: Convert to fraction form
    4,660,274/9,968,241 = 9,968,241/x
  3. Step 3: Cross multiply
    4,660,274x = 9,968,241 × 9,968,241
  4. Step 4: Simplify right side
    4,660,274x = 99,365,828,634,081
  5. Step 5: Solve for x
    x = 99,365,828,634,081/4,660,274
  6. Step 6: Final answer
    x = 21,321,885.50

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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.