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Finding the Third Proportional to 12,352,014 and 26,830,383.75

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Solution

The third proportional to 12,352,014 and 26,830,383.75 is: 58,279,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352,014 : 26,830,383.75 = 26,830,383.75 : x
  2. Step 2: Convert to fraction form
    12,352,014/26,830,383.75 = 26,830,383.75/x
  3. Step 3: Cross multiply
    12,352,014x = 26,830,383.75 × 26,830,383.75
  4. Step 4: Simplify right side
    12,352,014x = 719,869,492,172,264
  5. Step 5: Solve for x
    x = 719,869,492,172,264/12,352,014
  6. Step 6: Final answer
    x = 58,279,523.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.