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Finding the Third Proportional to 12,586,973.50 and 27,110,723

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Solution

The third proportional to 12,586,973.50 and 27,110,723 is: 58,393,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586,973.50 : 27,110,723 = 27,110,723 : x
  2. Step 2: Convert to fraction form
    12,586,973.50/27,110,723 = 27,110,723/x
  3. Step 3: Cross multiply
    12,586,973.50x = 27,110,723 × 27,110,723
  4. Step 4: Simplify right side
    12,586,973.50x = 734,991,301,582,729
  5. Step 5: Solve for x
    x = 734,991,301,582,729/12,586,973.50
  6. Step 6: Final answer
    x = 58,393,012.55

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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.