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Finding the Third Proportional to 2,143,100.53 and 4,584,475.97

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Solution

The third proportional to 2,143,100.53 and 4,584,475.97 is: 9,807,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,100.53 : 4,584,475.97 = 4,584,475.97 : x
  2. Step 2: Convert to fraction form
    2,143,100.53/4,584,475.97 = 4,584,475.97/x
  3. Step 3: Cross multiply
    2,143,100.53x = 4,584,475.97 × 4,584,475.97
  4. Step 4: Simplify right side
    2,143,100.53x = 21,017,419,908,046.25
  5. Step 5: Solve for x
    x = 21,017,419,908,046.25/2,143,100.53
  6. Step 6: Final answer
    x = 9,807,015.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.