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Finding the Third Proportional to 2,110,710 and 4,977,639

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Solution

The third proportional to 2,110,710 and 4,977,639 is: 11,738,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110,710 : 4,977,639 = 4,977,639 : x
  2. Step 2: Convert to fraction form
    2,110,710/4,977,639 = 4,977,639/x
  3. Step 3: Cross multiply
    2,110,710x = 4,977,639 × 4,977,639
  4. Step 4: Simplify right side
    2,110,710x = 24,776,890,014,321
  5. Step 5: Solve for x
    x = 24,776,890,014,321/2,110,710
  6. Step 6: Final answer
    x = 11,738,651.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.