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Finding the Third Proportional to 4,638,653.25 and 7,077,956.25

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Solution

The third proportional to 4,638,653.25 and 7,077,956.25 is: 10,800,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,653.25 : 7,077,956.25 = 7,077,956.25 : x
  2. Step 2: Convert to fraction form
    4,638,653.25/7,077,956.25 = 7,077,956.25/x
  3. Step 3: Cross multiply
    4,638,653.25x = 7,077,956.25 × 7,077,956.25
  4. Step 4: Simplify right side
    4,638,653.25x = 50,097,464,676,914.06
  5. Step 5: Solve for x
    x = 50,097,464,676,914.06/4,638,653.25
  6. Step 6: Final answer
    x = 10,800,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.