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Finding the Third Proportional to 5,801,655 and 12,567,534

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Solution

The third proportional to 5,801,655 and 12,567,534 is: 27,223,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,655 : 12,567,534 = 12,567,534 : x
  2. Step 2: Convert to fraction form
    5,801,655/12,567,534 = 12,567,534/x
  3. Step 3: Cross multiply
    5,801,655x = 12,567,534 × 12,567,534
  4. Step 4: Simplify right side
    5,801,655x = 157,942,910,841,156
  5. Step 5: Solve for x
    x = 157,942,910,841,156/5,801,655
  6. Step 6: Final answer
    x = 27,223,768.19

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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.