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Finding the Third Proportional to 5,252,277.94 and 7,951,709.25

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Solution

The third proportional to 5,252,277.94 and 7,951,709.25 is: 12,038,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,277.94 : 7,951,709.25 = 7,951,709.25 : x
  2. Step 2: Convert to fraction form
    5,252,277.94/7,951,709.25 = 7,951,709.25/x
  3. Step 3: Cross multiply
    5,252,277.94x = 7,951,709.25 × 7,951,709.25
  4. Step 4: Simplify right side
    5,252,277.94x = 63,229,679,996,535.56
  5. Step 5: Solve for x
    x = 63,229,679,996,535.56/5,252,277.94
  6. Step 6: Final answer
    x = 12,038,525.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.