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Finding the Third Proportional to 6,471,059.63 and 10,301,717.25

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Solution

The third proportional to 6,471,059.63 and 10,301,717.25 is: 16,400,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,059.63 : 10,301,717.25 = 10,301,717.25 : x
  2. Step 2: Convert to fraction form
    6,471,059.63/10,301,717.25 = 10,301,717.25/x
  3. Step 3: Cross multiply
    6,471,059.63x = 10,301,717.25 × 10,301,717.25
  4. Step 4: Simplify right side
    6,471,059.63x = 106,125,378,298,947.56
  5. Step 5: Solve for x
    x = 106,125,378,298,947.56/6,471,059.63
  6. Step 6: Final answer
    x = 16,400,000.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.