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Finding the Third Proportional to 4,977,027 and 10,164,006

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Solution

The third proportional to 4,977,027 and 10,164,006 is: 20,756,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,027 : 10,164,006 = 10,164,006 : x
  2. Step 2: Convert to fraction form
    4,977,027/10,164,006 = 10,164,006/x
  3. Step 3: Cross multiply
    4,977,027x = 10,164,006 × 10,164,006
  4. Step 4: Simplify right side
    4,977,027x = 103,307,017,968,036
  5. Step 5: Solve for x
    x = 103,307,017,968,036/4,977,027
  6. Step 6: Final answer
    x = 20,756,772.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.