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Finding the Third Proportional to 4,544,996 and 9,728,416

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Solution

The third proportional to 4,544,996 and 9,728,416 is: 20,823,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,996 : 9,728,416 = 9,728,416 : x
  2. Step 2: Convert to fraction form
    4,544,996/9,728,416 = 9,728,416/x
  3. Step 3: Cross multiply
    4,544,996x = 9,728,416 × 9,728,416
  4. Step 4: Simplify right side
    4,544,996x = 94,642,077,869,056
  5. Step 5: Solve for x
    x = 94,642,077,869,056/4,544,996
  6. Step 6: Final answer
    x = 20,823,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.