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Finding the Third Proportional to 2,649,084.75 and 5,702,492.25

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Solution

The third proportional to 2,649,084.75 and 5,702,492.25 is: 12,275,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,084.75 : 5,702,492.25 = 5,702,492.25 : x
  2. Step 2: Convert to fraction form
    2,649,084.75/5,702,492.25 = 5,702,492.25/x
  3. Step 3: Cross multiply
    2,649,084.75x = 5,702,492.25 × 5,702,492.25
  4. Step 4: Simplify right side
    2,649,084.75x = 32,518,417,861,310.06
  5. Step 5: Solve for x
    x = 32,518,417,861,310.06/2,649,084.75
  6. Step 6: Final answer
    x = 12,275,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.