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Finding the Third Proportional to 2,827,674 and 6,103,683

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Solution

The third proportional to 2,827,674 and 6,103,683 is: 13,175,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827,674 : 6,103,683 = 6,103,683 : x
  2. Step 2: Convert to fraction form
    2,827,674/6,103,683 = 6,103,683/x
  3. Step 3: Cross multiply
    2,827,674x = 6,103,683 × 6,103,683
  4. Step 4: Simplify right side
    2,827,674x = 37,254,946,164,489
  5. Step 5: Solve for x
    x = 37,254,946,164,489/2,827,674
  6. Step 6: Final answer
    x = 13,175,120.67

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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.