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Finding the Third Proportional to 3,246,196.50 and 5,046,492.38

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Solution

The third proportional to 3,246,196.50 and 5,046,492.38 is: 7,845,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,196.50 : 5,046,492.38 = 5,046,492.38 : x
  2. Step 2: Convert to fraction form
    3,246,196.50/5,046,492.38 = 5,046,492.38/x
  3. Step 3: Cross multiply
    3,246,196.50x = 5,046,492.38 × 5,046,492.38
  4. Step 4: Simplify right side
    3,246,196.50x = 25,467,085,290,933.14
  5. Step 5: Solve for x
    x = 25,467,085,290,933.14/3,246,196.50
  6. Step 6: Final answer
    x = 7,845,207.55

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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.