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Finding the Third Proportional to 15,744,435.75 and 32,745,809.25

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Solution

The third proportional to 15,744,435.75 and 32,745,809.25 is: 68,105,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744,435.75 : 32,745,809.25 = 32,745,809.25 : x
  2. Step 2: Convert to fraction form
    15,744,435.75/32,745,809.25 = 32,745,809.25/x
  3. Step 3: Cross multiply
    15,744,435.75x = 32,745,809.25 × 32,745,809.25
  4. Step 4: Simplify right side
    15,744,435.75x = 1,072,288,023,437,385.50
  5. Step 5: Solve for x
    x = 1,072,288,023,437,385.50/15,744,435.75
  6. Step 6: Final answer
    x = 68,105,840.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.