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Finding the Third Proportional to 3,663,741 and 7,831,677

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Solution

The third proportional to 3,663,741 and 7,831,677 is: 16,741,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,741 : 7,831,677 = 7,831,677 : x
  2. Step 2: Convert to fraction form
    3,663,741/7,831,677 = 7,831,677/x
  3. Step 3: Cross multiply
    3,663,741x = 7,831,677 × 7,831,677
  4. Step 4: Simplify right side
    3,663,741x = 61,335,164,632,329
  5. Step 5: Solve for x
    x = 61,335,164,632,329/3,663,741
  6. Step 6: Final answer
    x = 16,741,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.