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Finding the Third Proportional to 512,207,699.50 and 1,102,101,115.50

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Solution

The third proportional to 512,207,699.50 and 1,102,101,115.50 is: 2,371,356,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,699.50 : 1,102,101,115.50 = 1,102,101,115.50 : x
  2. Step 2: Convert to fraction form
    512,207,699.50/1,102,101,115.50 = 1,102,101,115.50/x
  3. Step 3: Cross multiply
    512,207,699.50x = 1,102,101,115.50 × 1,102,101,115.50
  4. Step 4: Simplify right side
    512,207,699.50x = 1,214,626,868,786,344,448
  5. Step 5: Solve for x
    x = 1,214,626,868,786,344,448/512,207,699.50
  6. Step 6: Final answer
    x = 2,371,356,131.45

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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.