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Finding the Third Proportional to 2,729,260,305 and 5,894,293,554

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Solution

The third proportional to 2,729,260,305 and 5,894,293,554 is: 12,729,711,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,260,305 : 5,894,293,554 = 5,894,293,554 : x
  2. Step 2: Convert to fraction form
    2,729,260,305/5,894,293,554 = 5,894,293,554/x
  3. Step 3: Cross multiply
    2,729,260,305x = 5,894,293,554 × 5,894,293,554
  4. Step 4: Simplify right side
    2,729,260,305x = 34,742,696,500,725,952,512
  5. Step 5: Solve for x
    x = 34,742,696,500,725,952,512/2,729,260,305
  6. Step 6: Final answer
    x = 12,729,711,576.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.