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Finding the Third Proportional to 538,436,719 and 1,171,212,680

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Solution

The third proportional to 538,436,719 and 1,171,212,680 is: 2,547,632,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436,719 : 1,171,212,680 = 1,171,212,680 : x
  2. Step 2: Convert to fraction form
    538,436,719/1,171,212,680 = 1,171,212,680/x
  3. Step 3: Cross multiply
    538,436,719x = 1,171,212,680 × 1,171,212,680
  4. Step 4: Simplify right side
    538,436,719x = 1,371,739,141,792,782,336
  5. Step 5: Solve for x
    x = 1,371,739,141,792,782,336/538,436,719
  6. Step 6: Final answer
    x = 2,547,632,977.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.