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Finding the Third Proportional to 3,449,359.69 and 7,256,248.31

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Solution

The third proportional to 3,449,359.69 and 7,256,248.31 is: 15,264,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,359.69 : 7,256,248.31 = 7,256,248.31 : x
  2. Step 2: Convert to fraction form
    3,449,359.69/7,256,248.31 = 7,256,248.31/x
  3. Step 3: Cross multiply
    3,449,359.69x = 7,256,248.31 × 7,256,248.31
  4. Step 4: Simplify right side
    3,449,359.69x = 52,653,139,572,659.09
  5. Step 5: Solve for x
    x = 52,653,139,572,659.09/3,449,359.69
  6. Step 6: Final answer
    x = 15,264,612.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.