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Finding the Third Proportional to 307,177,065.70 and 676,966,600.13

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Solution

The third proportional to 307,177,065.70 and 676,966,600.13 is: 1,491,920,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,177,065.70 : 676,966,600.13 = 676,966,600.13 : x
  2. Step 2: Convert to fraction form
    307,177,065.70/676,966,600.13 = 676,966,600.13/x
  3. Step 3: Cross multiply
    307,177,065.70x = 676,966,600.13 × 676,966,600.13
  4. Step 4: Simplify right side
    307,177,065.70x = 458,283,777,684,801,664
  5. Step 5: Solve for x
    x = 458,283,777,684,801,664/307,177,065.70
  6. Step 6: Final answer
    x = 1,491,920,552.84

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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.