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Finding the Third Proportional to 701,062,543 and 1,514,060,861.50

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Solution

The third proportional to 701,062,543 and 1,514,060,861.50 is: 3,269,865,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,062,543 : 1,514,060,861.50 = 1,514,060,861.50 : x
  2. Step 2: Convert to fraction form
    701,062,543/1,514,060,861.50 = 1,514,060,861.50/x
  3. Step 3: Cross multiply
    701,062,543x = 1,514,060,861.50 × 1,514,060,861.50
  4. Step 4: Simplify right side
    701,062,543x = 2,292,380,292,326,122,240
  5. Step 5: Solve for x
    x = 2,292,380,292,326,122,240/701,062,543
  6. Step 6: Final answer
    x = 3,269,865,599.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.