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Finding the Third Proportional to 4,909,762.69 and 10,669,372.31

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Solution

The third proportional to 4,909,762.69 and 10,669,372.31 is: 23,185,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909,762.69 : 10,669,372.31 = 10,669,372.31 : x
  2. Step 2: Convert to fraction form
    4,909,762.69/10,669,372.31 = 10,669,372.31/x
  3. Step 3: Cross multiply
    4,909,762.69x = 10,669,372.31 × 10,669,372.31
  4. Step 4: Simplify right side
    4,909,762.69x = 113,835,505,542,741.59
  5. Step 5: Solve for x
    x = 113,835,505,542,741.59/4,909,762.69
  6. Step 6: Final answer
    x = 23,185,541.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.