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Finding the Third Proportional to 32,972,007 and 50,437,048.50

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Solution

The third proportional to 32,972,007 and 50,437,048.50 is: 77,153,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972,007 : 50,437,048.50 = 50,437,048.50 : x
  2. Step 2: Convert to fraction form
    32,972,007/50,437,048.50 = 50,437,048.50/x
  3. Step 3: Cross multiply
    32,972,007x = 50,437,048.50 × 50,437,048.50
  4. Step 4: Simplify right side
    32,972,007x = 2,543,895,861,391,352
  5. Step 5: Solve for x
    x = 2,543,895,861,391,352/32,972,007
  6. Step 6: Final answer
    x = 77,153,200.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.