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Finding the Third Proportional to 2,390,465,879 and 5,116,735,395

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Solution

The third proportional to 2,390,465,879 and 5,116,735,395 is: 10,952,250,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390,465,879 : 5,116,735,395 = 5,116,735,395 : x
  2. Step 2: Convert to fraction form
    2,390,465,879/5,116,735,395 = 5,116,735,395/x
  3. Step 3: Cross multiply
    2,390,465,879x = 5,116,735,395 × 5,116,735,395
  4. Step 4: Simplify right side
    2,390,465,879x = 26,180,981,102,445,805,568
  5. Step 5: Solve for x
    x = 26,180,981,102,445,805,568/2,390,465,879
  6. Step 6: Final answer
    x = 10,952,250,493.28

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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.