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Finding the Third Proportional to 4,512,406.50 and 9,847,989

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Solution

The third proportional to 4,512,406.50 and 9,847,989 is: 21,492,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,406.50 : 9,847,989 = 9,847,989 : x
  2. Step 2: Convert to fraction form
    4,512,406.50/9,847,989 = 9,847,989/x
  3. Step 3: Cross multiply
    4,512,406.50x = 9,847,989 × 9,847,989
  4. Step 4: Simplify right side
    4,512,406.50x = 96,982,887,344,121
  5. Step 5: Solve for x
    x = 96,982,887,344,121/4,512,406.50
  6. Step 6: Final answer
    x = 21,492,497.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.