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Finding the Third Proportional to 10,421,971.50 and 22,964,241

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Solution

The third proportional to 10,421,971.50 and 22,964,241 is: 50,600,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,971.50 : 22,964,241 = 22,964,241 : x
  2. Step 2: Convert to fraction form
    10,421,971.50/22,964,241 = 22,964,241/x
  3. Step 3: Cross multiply
    10,421,971.50x = 22,964,241 × 22,964,241
  4. Step 4: Simplify right side
    10,421,971.50x = 527,356,364,706,081
  5. Step 5: Solve for x
    x = 527,356,364,706,081/10,421,971.50
  6. Step 6: Final answer
    x = 50,600,442.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.