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Finding the Third Proportional to 10,252,279.50 and 21,829,719

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Solution

The third proportional to 10,252,279.50 and 21,829,719 is: 46,481,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,279.50 : 21,829,719 = 21,829,719 : x
  2. Step 2: Convert to fraction form
    10,252,279.50/21,829,719 = 21,829,719/x
  3. Step 3: Cross multiply
    10,252,279.50x = 21,829,719 × 21,829,719
  4. Step 4: Simplify right side
    10,252,279.50x = 476,536,631,618,961
  5. Step 5: Solve for x
    x = 476,536,631,618,961/10,252,279.50
  6. Step 6: Final answer
    x = 46,481,041.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.