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Finding the Third Proportional to 4,966,734,584 and 10,815,267,568

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Solution

The third proportional to 4,966,734,584 and 10,815,267,568 is: 23,550,687,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966,734,584 : 10,815,267,568 = 10,815,267,568 : x
  2. Step 2: Convert to fraction form
    4,966,734,584/10,815,267,568 = 10,815,267,568/x
  3. Step 3: Cross multiply
    4,966,734,584x = 10,815,267,568 × 10,815,267,568
  4. Step 4: Simplify right side
    4,966,734,584x = 116,970,012,567,432,642,560
  5. Step 5: Solve for x
    x = 116,970,012,567,432,642,560/4,966,734,584
  6. Step 6: Final answer
    x = 23,550,687,194.81

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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.