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Finding the Third Proportional to 5,018,451.75 and 10,684,255.50

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Solution

The third proportional to 5,018,451.75 and 10,684,255.50 is: 22,746,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,018,451.75 : 10,684,255.50 = 10,684,255.50 : x
  2. Step 2: Convert to fraction form
    5,018,451.75/10,684,255.50 = 10,684,255.50/x
  3. Step 3: Cross multiply
    5,018,451.75x = 10,684,255.50 × 10,684,255.50
  4. Step 4: Simplify right side
    5,018,451.75x = 114,153,315,589,280.25
  5. Step 5: Solve for x
    x = 114,153,315,589,280.25/5,018,451.75
  6. Step 6: Final answer
    x = 22,746,719.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.