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Finding the Third Proportional to 10,708,537.50 and 16,313,764.50

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Solution

The third proportional to 10,708,537.50 and 16,313,764.50 is: 24,852,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708,537.50 : 16,313,764.50 = 16,313,764.50 : x
  2. Step 2: Convert to fraction form
    10,708,537.50/16,313,764.50 = 16,313,764.50/x
  3. Step 3: Cross multiply
    10,708,537.50x = 16,313,764.50 × 16,313,764.50
  4. Step 4: Simplify right side
    10,708,537.50x = 266,138,912,161,460.25
  5. Step 5: Solve for x
    x = 266,138,912,161,460.25/10,708,537.50
  6. Step 6: Final answer
    x = 24,852,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.