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Finding the Third Proportional to 353,007,693 and 769,576,629

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Solution

The third proportional to 353,007,693 and 769,576,629 is: 1,677,720,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,693 : 769,576,629 = 769,576,629 : x
  2. Step 2: Convert to fraction form
    353,007,693/769,576,629 = 769,576,629/x
  3. Step 3: Cross multiply
    353,007,693x = 769,576,629 × 769,576,629
  4. Step 4: Simplify right side
    353,007,693x = 592,248,187,903,003,648
  5. Step 5: Solve for x
    x = 592,248,187,903,003,648/353,007,693
  6. Step 6: Final answer
    x = 1,677,720,343.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.