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Finding the Third Proportional to 10,632,343.50 and 23,188,963.50

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Solution

The third proportional to 10,632,343.50 and 23,188,963.50 is: 50,574,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632,343.50 : 23,188,963.50 = 23,188,963.50 : x
  2. Step 2: Convert to fraction form
    10,632,343.50/23,188,963.50 = 23,188,963.50/x
  3. Step 3: Cross multiply
    10,632,343.50x = 23,188,963.50 × 23,188,963.50
  4. Step 4: Simplify right side
    10,632,343.50x = 537,728,028,204,332.25
  5. Step 5: Solve for x
    x = 537,728,028,204,332.25/10,632,343.50
  6. Step 6: Final answer
    x = 50,574,741.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.