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Finding the Third Proportional to 500,407,888.50 and 1,042,234,240.50

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Solution

The third proportional to 500,407,888.50 and 1,042,234,240.50 is: 2,170,733,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,407,888.50 : 1,042,234,240.50 = 1,042,234,240.50 : x
  2. Step 2: Convert to fraction form
    500,407,888.50/1,042,234,240.50 = 1,042,234,240.50/x
  3. Step 3: Cross multiply
    500,407,888.50x = 1,042,234,240.50 × 1,042,234,240.50
  4. Step 4: Simplify right side
    500,407,888.50x = 1,086,252,212,070,611,840
  5. Step 5: Solve for x
    x = 1,086,252,212,070,611,840/500,407,888.50
  6. Step 6: Final answer
    x = 2,170,733,589.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.