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Finding the Third Proportional to 23,233,214 and 34,849,821

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Solution

The third proportional to 23,233,214 and 34,849,821 is: 52,274,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233,214 : 34,849,821 = 34,849,821 : x
  2. Step 2: Convert to fraction form
    23,233,214/34,849,821 = 34,849,821/x
  3. Step 3: Cross multiply
    23,233,214x = 34,849,821 × 34,849,821
  4. Step 4: Simplify right side
    23,233,214x = 1,214,510,023,732,041
  5. Step 5: Solve for x
    x = 1,214,510,023,732,041/23,233,214
  6. Step 6: Final answer
    x = 52,274,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.