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Finding the Third Proportional to 4,735,000.50 and 10,200,138

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Solution

The third proportional to 4,735,000.50 and 10,200,138 is: 21,973,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,000.50 : 10,200,138 = 10,200,138 : x
  2. Step 2: Convert to fraction form
    4,735,000.50/10,200,138 = 10,200,138/x
  3. Step 3: Cross multiply
    4,735,000.50x = 10,200,138 × 10,200,138
  4. Step 4: Simplify right side
    4,735,000.50x = 104,042,815,219,044
  5. Step 5: Solve for x
    x = 104,042,815,219,044/4,735,000.50
  6. Step 6: Final answer
    x = 21,973,137.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.