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Finding the Third Proportional to 5,409,712 and 11,423,036

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Solution

The third proportional to 5,409,712 and 11,423,036 is: 24,120,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,712 : 11,423,036 = 11,423,036 : x
  2. Step 2: Convert to fraction form
    5,409,712/11,423,036 = 11,423,036/x
  3. Step 3: Cross multiply
    5,409,712x = 11,423,036 × 11,423,036
  4. Step 4: Simplify right side
    5,409,712x = 130,485,751,457,296
  5. Step 5: Solve for x
    x = 130,485,751,457,296/5,409,712
  6. Step 6: Final answer
    x = 24,120,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.