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Finding the Third Proportional to 307,177,080.75 and 676,966,635

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Solution

The third proportional to 307,177,080.75 and 676,966,635 is: 1,491,920,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,177,080.75 : 676,966,635 = 676,966,635 : x
  2. Step 2: Convert to fraction form
    307,177,080.75/676,966,635 = 676,966,635/x
  3. Step 3: Cross multiply
    307,177,080.75x = 676,966,635 × 676,966,635
  4. Step 4: Simplify right side
    307,177,080.75x = 458,283,824,903,223,232
  5. Step 5: Solve for x
    x = 458,283,824,903,223,232/307,177,080.75
  6. Step 6: Final answer
    x = 1,491,920,633.48

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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.