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Finding the Third Proportional to 1,332,299,684.25 and 2,887,007,427

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Solution

The third proportional to 1,332,299,684.25 and 2,887,007,427 is: 6,255,958,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,299,684.25 : 2,887,007,427 = 2,887,007,427 : x
  2. Step 2: Convert to fraction form
    1,332,299,684.25/2,887,007,427 = 2,887,007,427/x
  3. Step 3: Cross multiply
    1,332,299,684.25x = 2,887,007,427 × 2,887,007,427
  4. Step 4: Simplify right side
    1,332,299,684.25x = 8,334,811,883,553,160,192
  5. Step 5: Solve for x
    x = 8,334,811,883,553,160,192/1,332,299,684.25
  6. Step 6: Final answer
    x = 6,255,958,762.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.