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Finding the Third Proportional to 23,531,203.69 and 50,466,346.31

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Solution

The third proportional to 23,531,203.69 and 50,466,346.31 is: 108,232,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531,203.69 : 50,466,346.31 = 50,466,346.31 : x
  2. Step 2: Convert to fraction form
    23,531,203.69/50,466,346.31 = 50,466,346.31/x
  3. Step 3: Cross multiply
    23,531,203.69x = 50,466,346.31 × 50,466,346.31
  4. Step 4: Simplify right side
    23,531,203.69x = 2,546,852,110,133,182.50
  5. Step 5: Solve for x
    x = 2,546,852,110,133,182.50/23,531,203.69
  6. Step 6: Final answer
    x = 108,232,972.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.