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Finding the Third Proportional to 6,523,584 and 13,886,982

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Solution

The third proportional to 6,523,584 and 13,886,982 is: 29,561,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523,584 : 13,886,982 = 13,886,982 : x
  2. Step 2: Convert to fraction form
    6,523,584/13,886,982 = 13,886,982/x
  3. Step 3: Cross multiply
    6,523,584x = 13,886,982 × 13,886,982
  4. Step 4: Simplify right side
    6,523,584x = 192,848,269,068,324
  5. Step 5: Solve for x
    x = 192,848,269,068,324/6,523,584
  6. Step 6: Final answer
    x = 29,561,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.