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Finding the Third Proportional to 45,372,478.50 and 69,740,763.75

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Solution

The third proportional to 45,372,478.50 and 69,740,763.75 is: 107,196,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,372,478.50 : 69,740,763.75 = 69,740,763.75 : x
  2. Step 2: Convert to fraction form
    45,372,478.50/69,740,763.75 = 69,740,763.75/x
  3. Step 3: Cross multiply
    45,372,478.50x = 69,740,763.75 × 69,740,763.75
  4. Step 4: Simplify right side
    45,372,478.50x = 4,863,774,128,433,314
  5. Step 5: Solve for x
    x = 4,863,774,128,433,314/45,372,478.50
  6. Step 6: Final answer
    x = 107,196,571.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.