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Finding the Third Proportional to 5,941,069 and 13,017,317

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Solution

The third proportional to 5,941,069 and 13,017,317 is: 28,521,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941,069 : 13,017,317 = 13,017,317 : x
  2. Step 2: Convert to fraction form
    5,941,069/13,017,317 = 13,017,317/x
  3. Step 3: Cross multiply
    5,941,069x = 13,017,317 × 13,017,317
  4. Step 4: Simplify right side
    5,941,069x = 169,450,541,878,489
  5. Step 5: Solve for x
    x = 169,450,541,878,489/5,941,069
  6. Step 6: Final answer
    x = 28,521,894.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.