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Finding the Third Proportional to 307,836,510 and 477,061,833.38

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Solution

The third proportional to 307,836,510 and 477,061,833.38 is: 739,314,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836,510 : 477,061,833.38 = 477,061,833.38 : x
  2. Step 2: Convert to fraction form
    307,836,510/477,061,833.38 = 477,061,833.38/x
  3. Step 3: Cross multiply
    307,836,510x = 477,061,833.38 × 477,061,833.38
  4. Step 4: Simplify right side
    307,836,510x = 227,587,992,863,116,256
  5. Step 5: Solve for x
    x = 227,587,992,863,116,256/307,836,510
  6. Step 6: Final answer
    x = 739,314,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.