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Finding the Third Proportional to 47,898,529.50 and 75,037,467

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Solution

The third proportional to 47,898,529.50 and 75,037,467 is: 117,553,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,898,529.50 : 75,037,467 = 75,037,467 : x
  2. Step 2: Convert to fraction form
    47,898,529.50/75,037,467 = 75,037,467/x
  3. Step 3: Cross multiply
    47,898,529.50x = 75,037,467 × 75,037,467
  4. Step 4: Simplify right side
    47,898,529.50x = 5,630,621,453,776,089
  5. Step 5: Solve for x
    x = 5,630,621,453,776,089/47,898,529.50
  6. Step 6: Final answer
    x = 117,553,117.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.