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Finding the Third Proportional to 2,703,772,294 and 5,795,588,300

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Solution

The third proportional to 2,703,772,294 and 5,795,588,300 is: 12,422,955,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,772,294 : 5,795,588,300 = 5,795,588,300 : x
  2. Step 2: Convert to fraction form
    2,703,772,294/5,795,588,300 = 5,795,588,300/x
  3. Step 3: Cross multiply
    2,703,772,294x = 5,795,588,300 × 5,795,588,300
  4. Step 4: Simplify right side
    2,703,772,294x = 33,588,843,743,096,889,344
  5. Step 5: Solve for x
    x = 33,588,843,743,096,889,344/2,703,772,294
  6. Step 6: Final answer
    x = 12,422,955,815.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.