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Finding the Third Proportional to 5,299,429.50 and 11,643,964.50

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Solution

The third proportional to 5,299,429.50 and 11,643,964.50 is: 25,584,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,429.50 : 11,643,964.50 = 11,643,964.50 : x
  2. Step 2: Convert to fraction form
    5,299,429.50/11,643,964.50 = 11,643,964.50/x
  3. Step 3: Cross multiply
    5,299,429.50x = 11,643,964.50 × 11,643,964.50
  4. Step 4: Simplify right side
    5,299,429.50x = 135,581,909,277,260.25
  5. Step 5: Solve for x
    x = 135,581,909,277,260.25/5,299,429.50
  6. Step 6: Final answer
    x = 25,584,246.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.