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Finding the Third Proportional to 6,559,659.56 and 14,273,024.06

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Solution

The third proportional to 6,559,659.56 and 14,273,024.06 is: 31,056,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559,659.56 : 14,273,024.06 = 14,273,024.06 : x
  2. Step 2: Convert to fraction form
    6,559,659.56/14,273,024.06 = 14,273,024.06/x
  3. Step 3: Cross multiply
    6,559,659.56x = 14,273,024.06 × 14,273,024.06
  4. Step 4: Simplify right side
    6,559,659.56x = 203,719,215,888,704
  5. Step 5: Solve for x
    x = 203,719,215,888,704/6,559,659.56
  6. Step 6: Final answer
    x = 31,056,370.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.