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Finding the Third Proportional to 50,541,072 and 72,224,362.50

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Solution

The third proportional to 50,541,072 and 72,224,362.50 is: 103,210,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541,072 : 72,224,362.50 = 72,224,362.50 : x
  2. Step 2: Convert to fraction form
    50,541,072/72,224,362.50 = 72,224,362.50/x
  3. Step 3: Cross multiply
    50,541,072x = 72,224,362.50 × 72,224,362.50
  4. Step 4: Simplify right side
    50,541,072x = 5,216,358,538,531,406
  5. Step 5: Solve for x
    x = 5,216,358,538,531,406/50,541,072
  6. Step 6: Final answer
    x = 103,210,286.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.