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Finding the Third Proportional to 6,287,960 and 13,472,317

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Solution

The third proportional to 6,287,960 and 13,472,317 is: 28,865,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,960 : 13,472,317 = 13,472,317 : x
  2. Step 2: Convert to fraction form
    6,287,960/13,472,317 = 13,472,317/x
  3. Step 3: Cross multiply
    6,287,960x = 13,472,317 × 13,472,317
  4. Step 4: Simplify right side
    6,287,960x = 181,503,325,348,489
  5. Step 5: Solve for x
    x = 181,503,325,348,489/6,287,960
  6. Step 6: Final answer
    x = 28,865,216.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.