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Finding the Third Proportional to 5,912,493.75 and 12,708,809.25

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Solution

The third proportional to 5,912,493.75 and 12,708,809.25 is: 27,317,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912,493.75 : 12,708,809.25 = 12,708,809.25 : x
  2. Step 2: Convert to fraction form
    5,912,493.75/12,708,809.25 = 12,708,809.25/x
  3. Step 3: Cross multiply
    5,912,493.75x = 12,708,809.25 × 12,708,809.25
  4. Step 4: Simplify right side
    5,912,493.75x = 161,513,832,552,885.56
  5. Step 5: Solve for x
    x = 161,513,832,552,885.56/5,912,493.75
  6. Step 6: Final answer
    x = 27,317,378.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.