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Finding the Third Proportional to 11,230,123.50 and 22,992,232.50

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Solution

The third proportional to 11,230,123.50 and 22,992,232.50 is: 47,073,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230,123.50 : 22,992,232.50 = 22,992,232.50 : x
  2. Step 2: Convert to fraction form
    11,230,123.50/22,992,232.50 = 22,992,232.50/x
  3. Step 3: Cross multiply
    11,230,123.50x = 22,992,232.50 × 22,992,232.50
  4. Step 4: Simplify right side
    11,230,123.50x = 528,642,755,334,056.25
  5. Step 5: Solve for x
    x = 528,642,755,334,056.25/11,230,123.50
  6. Step 6: Final answer
    x = 47,073,636.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.