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Finding the Third Proportional to 3,430,363.50 and 5,031,021.38

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Solution

The third proportional to 3,430,363.50 and 5,031,021.38 is: 7,378,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,363.50 : 5,031,021.38 = 5,031,021.38 : x
  2. Step 2: Convert to fraction form
    3,430,363.50/5,031,021.38 = 5,031,021.38/x
  3. Step 3: Cross multiply
    3,430,363.50x = 5,031,021.38 × 5,031,021.38
  4. Step 4: Simplify right side
    3,430,363.50x = 25,311,176,075,706.89
  5. Step 5: Solve for x
    x = 25,311,176,075,706.89/3,430,363.50
  6. Step 6: Final answer
    x = 7,378,569.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.