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Finding the Third Proportional to 6,647,427 and 14,459,532

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Solution

The third proportional to 6,647,427 and 14,459,532 is: 31,452,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,427 : 14,459,532 = 14,459,532 : x
  2. Step 2: Convert to fraction form
    6,647,427/14,459,532 = 14,459,532/x
  3. Step 3: Cross multiply
    6,647,427x = 14,459,532 × 14,459,532
  4. Step 4: Simplify right side
    6,647,427x = 209,078,065,659,024
  5. Step 5: Solve for x
    x = 209,078,065,659,024/6,647,427
  6. Step 6: Final answer
    x = 31,452,480.13

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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.