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Finding the Third Proportional to 353,007,670.50 and 769,576,583.25

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Solution

The third proportional to 353,007,670.50 and 769,576,583.25 is: 1,677,720,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,670.50 : 769,576,583.25 = 769,576,583.25 : x
  2. Step 2: Convert to fraction form
    353,007,670.50/769,576,583.25 = 769,576,583.25/x
  3. Step 3: Cross multiply
    353,007,670.50x = 769,576,583.25 × 769,576,583.25
  4. Step 4: Simplify right side
    353,007,670.50x = 592,248,117,486,744,192
  5. Step 5: Solve for x
    x = 592,248,117,486,744,192/353,007,670.50
  6. Step 6: Final answer
    x = 1,677,720,250.80

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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.