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Finding the Third Proportional to 5,125,198.50 and 7,209,237

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Solution

The third proportional to 5,125,198.50 and 7,209,237 is: 10,140,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125,198.50 : 7,209,237 = 7,209,237 : x
  2. Step 2: Convert to fraction form
    5,125,198.50/7,209,237 = 7,209,237/x
  3. Step 3: Cross multiply
    5,125,198.50x = 7,209,237 × 7,209,237
  4. Step 4: Simplify right side
    5,125,198.50x = 51,973,098,122,169
  5. Step 5: Solve for x
    x = 51,973,098,122,169/5,125,198.50
  6. Step 6: Final answer
    x = 10,140,699.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.