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Finding the Third Proportional to 7,057,248.75 and 10,788,712.31

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Solution

The third proportional to 7,057,248.75 and 10,788,712.31 is: 16,493,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057,248.75 : 10,788,712.31 = 10,788,712.31 : x
  2. Step 2: Convert to fraction form
    7,057,248.75/10,788,712.31 = 10,788,712.31/x
  3. Step 3: Cross multiply
    7,057,248.75x = 10,788,712.31 × 10,788,712.31
  4. Step 4: Simplify right side
    7,057,248.75x = 116,396,313,361,889.09
  5. Step 5: Solve for x
    x = 116,396,313,361,889.09/7,057,248.75
  6. Step 6: Final answer
    x = 16,493,157.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.