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Finding the Third Proportional to 2,296,980.28 and 4,951,937.53

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Solution

The third proportional to 2,296,980.28 and 4,951,937.53 is: 10,675,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,980.28 : 4,951,937.53 = 4,951,937.53 : x
  2. Step 2: Convert to fraction form
    2,296,980.28/4,951,937.53 = 4,951,937.53/x
  3. Step 3: Cross multiply
    2,296,980.28x = 4,951,937.53 × 4,951,937.53
  4. Step 4: Simplify right side
    2,296,980.28x = 24,521,685,313,402.34
  5. Step 5: Solve for x
    x = 24,521,685,313,402.34/2,296,980.28
  6. Step 6: Final answer
    x = 10,675,618.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.