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Finding the Third Proportional to 1,948,732,684 and 4,598,660,344

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Solution

The third proportional to 1,948,732,684 and 4,598,660,344 is: 10,852,015,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,732,684 : 4,598,660,344 = 4,598,660,344 : x
  2. Step 2: Convert to fraction form
    1,948,732,684/4,598,660,344 = 4,598,660,344/x
  3. Step 3: Cross multiply
    1,948,732,684x = 4,598,660,344 × 4,598,660,344
  4. Step 4: Simplify right side
    1,948,732,684x = 21,147,676,959,478,198,272
  5. Step 5: Solve for x
    x = 21,147,676,959,478,198,272/1,948,732,684
  6. Step 6: Final answer
    x = 10,852,015,329.30

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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.