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Finding the Third Proportional to 6,314,170.50 and 13,638,734.50

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Solution

The third proportional to 6,314,170.50 and 13,638,734.50 is: 29,459,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,170.50 : 13,638,734.50 = 13,638,734.50 : x
  2. Step 2: Convert to fraction form
    6,314,170.50/13,638,734.50 = 13,638,734.50/x
  3. Step 3: Cross multiply
    6,314,170.50x = 13,638,734.50 × 13,638,734.50
  4. Step 4: Simplify right side
    6,314,170.50x = 186,015,078,761,490.25
  5. Step 5: Solve for x
    x = 186,015,078,761,490.25/6,314,170.50
  6. Step 6: Final answer
    x = 29,459,939.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.