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Finding the Third Proportional to 5,801,373 and 12,294,281.25

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Solution

The third proportional to 5,801,373 and 12,294,281.25 is: 26,054,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,373 : 12,294,281.25 = 12,294,281.25 : x
  2. Step 2: Convert to fraction form
    5,801,373/12,294,281.25 = 12,294,281.25/x
  3. Step 3: Cross multiply
    5,801,373x = 12,294,281.25 × 12,294,281.25
  4. Step 4: Simplify right side
    5,801,373x = 151,149,351,454,101.56
  5. Step 5: Solve for x
    x = 151,149,351,454,101.56/5,801,373
  6. Step 6: Final answer
    x = 26,054,065.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.