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Finding the Third Proportional to 14,264,524 and 27,814,300

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Solution

The third proportional to 14,264,524 and 27,814,300 is: 54,234,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264,524 : 27,814,300 = 27,814,300 : x
  2. Step 2: Convert to fraction form
    14,264,524/27,814,300 = 27,814,300/x
  3. Step 3: Cross multiply
    14,264,524x = 27,814,300 × 27,814,300
  4. Step 4: Simplify right side
    14,264,524x = 773,635,284,490,000
  5. Step 5: Solve for x
    x = 773,635,284,490,000/14,264,524
  6. Step 6: Final answer
    x = 54,234,917.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.