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Finding the Third Proportional to 10,373,506.75 and 22,835,657.50

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Solution

The third proportional to 10,373,506.75 and 22,835,657.50 is: 50,269,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373,506.75 : 22,835,657.50 = 22,835,657.50 : x
  2. Step 2: Convert to fraction form
    10,373,506.75/22,835,657.50 = 22,835,657.50/x
  3. Step 3: Cross multiply
    10,373,506.75x = 22,835,657.50 × 22,835,657.50
  4. Step 4: Simplify right side
    10,373,506.75x = 521,467,253,457,306.25
  5. Step 5: Solve for x
    x = 521,467,253,457,306.25/10,373,506.75
  6. Step 6: Final answer
    x = 50,269,139.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.