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Finding the Third Proportional to 524,770,603.50 and 1,214,876,131.50

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Solution

The third proportional to 524,770,603.50 and 1,214,876,131.50 is: 2,812,512,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,603.50 : 1,214,876,131.50 = 1,214,876,131.50 : x
  2. Step 2: Convert to fraction form
    524,770,603.50/1,214,876,131.50 = 1,214,876,131.50/x
  3. Step 3: Cross multiply
    524,770,603.50x = 1,214,876,131.50 × 1,214,876,131.50
  4. Step 4: Simplify right side
    524,770,603.50x = 1,475,924,014,888,405,248
  5. Step 5: Solve for x
    x = 1,475,924,014,888,405,248/524,770,603.50
  6. Step 6: Final answer
    x = 2,812,512,753.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.