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Finding the Third Proportional to 451,400,784.75 and 915,493,934.25

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Solution

The third proportional to 451,400,784.75 and 915,493,934.25 is: 1,856,729,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,400,784.75 : 915,493,934.25 = 915,493,934.25 : x
  2. Step 2: Convert to fraction form
    451,400,784.75/915,493,934.25 = 915,493,934.25/x
  3. Step 3: Cross multiply
    451,400,784.75x = 915,493,934.25 × 915,493,934.25
  4. Step 4: Simplify right side
    451,400,784.75x = 838,129,143,648,543,360
  5. Step 5: Solve for x
    x = 838,129,143,648,543,360/451,400,784.75
  6. Step 6: Final answer
    x = 1,856,729,478.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.