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Finding the Third Proportional to 2,355,358.50 and 5,175,208.50

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Solution

The third proportional to 2,355,358.50 and 5,175,208.50 is: 11,371,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,358.50 : 5,175,208.50 = 5,175,208.50 : x
  2. Step 2: Convert to fraction form
    2,355,358.50/5,175,208.50 = 5,175,208.50/x
  3. Step 3: Cross multiply
    2,355,358.50x = 5,175,208.50 × 5,175,208.50
  4. Step 4: Simplify right side
    2,355,358.50x = 26,782,783,018,472.25
  5. Step 5: Solve for x
    x = 26,782,783,018,472.25/2,355,358.50
  6. Step 6: Final answer
    x = 11,371,000.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.