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Finding the Third Proportional to 7,728,783.75 and 10,496,445.75

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Solution

The third proportional to 7,728,783.75 and 10,496,445.75 is: 14,255,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,783.75 : 10,496,445.75 = 10,496,445.75 : x
  2. Step 2: Convert to fraction form
    7,728,783.75/10,496,445.75 = 10,496,445.75/x
  3. Step 3: Cross multiply
    7,728,783.75x = 10,496,445.75 × 10,496,445.75
  4. Step 4: Simplify right side
    7,728,783.75x = 110,175,373,382,693.06
  5. Step 5: Solve for x
    x = 110,175,373,382,693.06/7,728,783.75
  6. Step 6: Final answer
    x = 14,255,201.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.