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Finding the Third Proportional to 4,120,513.03 and 6,453,871.17

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Solution

The third proportional to 4,120,513.03 and 6,453,871.17 is: 10,108,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120,513.03 : 6,453,871.17 = 6,453,871.17 : x
  2. Step 2: Convert to fraction form
    4,120,513.03/6,453,871.17 = 6,453,871.17/x
  3. Step 3: Cross multiply
    4,120,513.03x = 6,453,871.17 × 6,453,871.17
  4. Step 4: Simplify right side
    4,120,513.03x = 41,652,453,103,159.19
  5. Step 5: Solve for x
    x = 41,652,453,103,159.19/4,120,513.03
  6. Step 6: Final answer
    x = 10,108,559.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.