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Finding the Third Proportional to 12,440,023 and 19,472,208

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Solution

The third proportional to 12,440,023 and 19,472,208 is: 30,479,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,023 : 19,472,208 = 19,472,208 : x
  2. Step 2: Convert to fraction form
    12,440,023/19,472,208 = 19,472,208/x
  3. Step 3: Cross multiply
    12,440,023x = 19,472,208 × 19,472,208
  4. Step 4: Simplify right side
    12,440,023x = 379,166,884,395,264
  5. Step 5: Solve for x
    x = 379,166,884,395,264/12,440,023
  6. Step 6: Final answer
    x = 30,479,596.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.