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Finding the Third Proportional to 3,113,706 and 6,739,167

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Solution

The third proportional to 3,113,706 and 6,739,167 is: 14,585,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113,706 : 6,739,167 = 6,739,167 : x
  2. Step 2: Convert to fraction form
    3,113,706/6,739,167 = 6,739,167/x
  3. Step 3: Cross multiply
    3,113,706x = 6,739,167 × 6,739,167
  4. Step 4: Simplify right side
    3,113,706x = 45,416,371,853,889
  5. Step 5: Solve for x
    x = 45,416,371,853,889/3,113,706
  6. Step 6: Final answer
    x = 14,585,953.80

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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.