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Finding the Third Proportional to 3,520,509.50 and 7,546,284

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Solution

The third proportional to 3,520,509.50 and 7,546,284 is: 16,175,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520,509.50 : 7,546,284 = 7,546,284 : x
  2. Step 2: Convert to fraction form
    3,520,509.50/7,546,284 = 7,546,284/x
  3. Step 3: Cross multiply
    3,520,509.50x = 7,546,284 × 7,546,284
  4. Step 4: Simplify right side
    3,520,509.50x = 56,946,402,208,656
  5. Step 5: Solve for x
    x = 56,946,402,208,656/3,520,509.50
  6. Step 6: Final answer
    x = 16,175,613.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.