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Finding the Third Proportional to 3,430,186.50 and 7,458,222

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Solution

The third proportional to 3,430,186.50 and 7,458,222 is: 16,216,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,186.50 : 7,458,222 = 7,458,222 : x
  2. Step 2: Convert to fraction form
    3,430,186.50/7,458,222 = 7,458,222/x
  3. Step 3: Cross multiply
    3,430,186.50x = 7,458,222 × 7,458,222
  4. Step 4: Simplify right side
    3,430,186.50x = 55,625,075,401,284
  5. Step 5: Solve for x
    x = 55,625,075,401,284/3,430,186.50
  6. Step 6: Final answer
    x = 16,216,341.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.