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Finding the Third Proportional to 16,705,976.25 and 26,582,756.25

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Solution

The third proportional to 16,705,976.25 and 26,582,756.25 is: 42,298,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705,976.25 : 26,582,756.25 = 26,582,756.25 : x
  2. Step 2: Convert to fraction form
    16,705,976.25/26,582,756.25 = 26,582,756.25/x
  3. Step 3: Cross multiply
    16,705,976.25x = 26,582,756.25 × 26,582,756.25
  4. Step 4: Simplify right side
    16,705,976.25x = 706,642,929,846,914
  5. Step 5: Solve for x
    x = 706,642,929,846,914/16,705,976.25
  6. Step 6: Final answer
    x = 42,298,810.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.