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Finding the Third Proportional to 6,307,169 and 13,835,170

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Solution

The third proportional to 6,307,169 and 13,835,170 is: 30,348,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,169 : 13,835,170 = 13,835,170 : x
  2. Step 2: Convert to fraction form
    6,307,169/13,835,170 = 13,835,170/x
  3. Step 3: Cross multiply
    6,307,169x = 13,835,170 × 13,835,170
  4. Step 4: Simplify right side
    6,307,169x = 191,411,928,928,900
  5. Step 5: Solve for x
    x = 191,411,928,928,900/6,307,169
  6. Step 6: Final answer
    x = 30,348,311.41

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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.