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Finding the Third Proportional to 461,734,314.75 and 1,015,814,580.75

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Solution

The third proportional to 461,734,314.75 and 1,015,814,580.75 is: 2,234,790,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,734,314.75 : 1,015,814,580.75 = 1,015,814,580.75 : x
  2. Step 2: Convert to fraction form
    461,734,314.75/1,015,814,580.75 = 1,015,814,580.75/x
  3. Step 3: Cross multiply
    461,734,314.75x = 1,015,814,580.75 × 1,015,814,580.75
  4. Step 4: Simplify right side
    461,734,314.75x = 1,031,879,262,464,298,240
  5. Step 5: Solve for x
    x = 1,031,879,262,464,298,240/461,734,314.75
  6. Step 6: Final answer
    x = 2,234,790,071.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.