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Finding the Third Proportional to 48,784,803.75 and 71,341,765.88

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Solution

The third proportional to 48,784,803.75 and 71,341,765.88 is: 104,328,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,803.75 : 71,341,765.88 = 71,341,765.88 : x
  2. Step 2: Convert to fraction form
    48,784,803.75/71,341,765.88 = 71,341,765.88/x
  3. Step 3: Cross multiply
    48,784,803.75x = 71,341,765.88 × 71,341,765.88
  4. Step 4: Simplify right side
    48,784,803.75x = 5,089,647,558,163,315
  5. Step 5: Solve for x
    x = 5,089,647,558,163,315/48,784,803.75
  6. Step 6: Final answer
    x = 104,328,544.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.