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Finding the Third Proportional to 4,991,409 and 10,739,412

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Solution

The third proportional to 4,991,409 and 10,739,412 is: 23,106,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,409 : 10,739,412 = 10,739,412 : x
  2. Step 2: Convert to fraction form
    4,991,409/10,739,412 = 10,739,412/x
  3. Step 3: Cross multiply
    4,991,409x = 10,739,412 × 10,739,412
  4. Step 4: Simplify right side
    4,991,409x = 115,334,970,105,744
  5. Step 5: Solve for x
    x = 115,334,970,105,744/4,991,409
  6. Step 6: Final answer
    x = 23,106,695.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.