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Finding the Third Proportional to 10,614,102 and 23,213,964

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Solution

The third proportional to 10,614,102 and 23,213,964 is: 50,770,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,102 : 23,213,964 = 23,213,964 : x
  2. Step 2: Convert to fraction form
    10,614,102/23,213,964 = 23,213,964/x
  3. Step 3: Cross multiply
    10,614,102x = 23,213,964 × 23,213,964
  4. Step 4: Simplify right side
    10,614,102x = 538,888,124,593,296
  5. Step 5: Solve for x
    x = 538,888,124,593,296/10,614,102
  6. Step 6: Final answer
    x = 50,770,957.79

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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.