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Finding the Third Proportional to 2,814,804 and 6,145,750.13

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Solution

The third proportional to 2,814,804 and 6,145,750.13 is: 13,418,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,804 : 6,145,750.13 = 6,145,750.13 : x
  2. Step 2: Convert to fraction form
    2,814,804/6,145,750.13 = 6,145,750.13/x
  3. Step 3: Cross multiply
    2,814,804x = 6,145,750.13 × 6,145,750.13
  4. Step 4: Simplify right side
    2,814,804x = 37,770,244,598,937.52
  5. Step 5: Solve for x
    x = 37,770,244,598,937.52/2,814,804
  6. Step 6: Final answer
    x = 13,418,427.93

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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.