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Finding the Third Proportional to 3,652,371 and 5,677,492.50

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Solution

The third proportional to 3,652,371 and 5,677,492.50 is: 8,825,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652,371 : 5,677,492.50 = 5,677,492.50 : x
  2. Step 2: Convert to fraction form
    3,652,371/5,677,492.50 = 5,677,492.50/x
  3. Step 3: Cross multiply
    3,652,371x = 5,677,492.50 × 5,677,492.50
  4. Step 4: Simplify right side
    3,652,371x = 32,233,921,087,556.25
  5. Step 5: Solve for x
    x = 32,233,921,087,556.25/3,652,371
  6. Step 6: Final answer
    x = 8,825,478.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.