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Finding the Third Proportional to 1,948,732,764 and 4,598,660,530

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Solution

The third proportional to 1,948,732,764 and 4,598,660,530 is: 10,852,015,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,732,764 : 4,598,660,530 = 4,598,660,530 : x
  2. Step 2: Convert to fraction form
    1,948,732,764/4,598,660,530 = 4,598,660,530/x
  3. Step 3: Cross multiply
    1,948,732,764x = 4,598,660,530 × 4,598,660,530
  4. Step 4: Simplify right side
    1,948,732,764x = 21,147,678,670,179,880,960
  5. Step 5: Solve for x
    x = 21,147,678,670,179,880,960/1,948,732,764
  6. Step 6: Final answer
    x = 10,852,015,761.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.