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Finding the Third Proportional to 412,615,973.50 and 617,288,015.50

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Solution

The third proportional to 412,615,973.50 and 617,288,015.50 is: 923,484,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,615,973.50 : 617,288,015.50 = 617,288,015.50 : x
  2. Step 2: Convert to fraction form
    412,615,973.50/617,288,015.50 = 617,288,015.50/x
  3. Step 3: Cross multiply
    412,615,973.50x = 617,288,015.50 × 617,288,015.50
  4. Step 4: Simplify right side
    412,615,973.50x = 381,044,494,079,928,256
  5. Step 5: Solve for x
    x = 381,044,494,079,928,256/412,615,973.50
  6. Step 6: Final answer
    x = 923,484,592.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.