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Finding the Third Proportional to 6,546,393 and 14,225,922

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Solution

The third proportional to 6,546,393 and 14,225,922 is: 30,914,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546,393 : 14,225,922 = 14,225,922 : x
  2. Step 2: Convert to fraction form
    6,546,393/14,225,922 = 14,225,922/x
  3. Step 3: Cross multiply
    6,546,393x = 14,225,922 × 14,225,922
  4. Step 4: Simplify right side
    6,546,393x = 202,376,856,750,084
  5. Step 5: Solve for x
    x = 202,376,856,750,084/6,546,393
  6. Step 6: Final answer
    x = 30,914,254.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.