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Finding the Third Proportional to 14,570,324 and 21,383,092

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Solution

The third proportional to 14,570,324 and 21,383,092 is: 31,381,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570,324 : 21,383,092 = 21,383,092 : x
  2. Step 2: Convert to fraction form
    14,570,324/21,383,092 = 21,383,092/x
  3. Step 3: Cross multiply
    14,570,324x = 21,383,092 × 21,383,092
  4. Step 4: Simplify right side
    14,570,324x = 457,236,623,480,464
  5. Step 5: Solve for x
    x = 457,236,623,480,464/14,570,324
  6. Step 6: Final answer
    x = 31,381,362.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.