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Finding the Third Proportional to 2,714,375,427 and 5,857,476,121.50

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Solution

The third proportional to 2,714,375,427 and 5,857,476,121.50 is: 12,640,118,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714,375,427 : 5,857,476,121.50 = 5,857,476,121.50 : x
  2. Step 2: Convert to fraction form
    2,714,375,427/5,857,476,121.50 = 5,857,476,121.50/x
  3. Step 3: Cross multiply
    2,714,375,427x = 5,857,476,121.50 × 5,857,476,121.50
  4. Step 4: Simplify right side
    2,714,375,427x = 34,310,026,513,942,683,648
  5. Step 5: Solve for x
    x = 34,310,026,513,942,683,648/2,714,375,427
  6. Step 6: Final answer
    x = 12,640,118,302.23

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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.