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Finding the Third Proportional to 2,139,664,887 and 4,659,183,423

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Solution

The third proportional to 2,139,664,887 and 4,659,183,423 is: 10,145,509,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,664,887 : 4,659,183,423 = 4,659,183,423 : x
  2. Step 2: Convert to fraction form
    2,139,664,887/4,659,183,423 = 4,659,183,423/x
  3. Step 3: Cross multiply
    2,139,664,887x = 4,659,183,423 × 4,659,183,423
  4. Step 4: Simplify right side
    2,139,664,887x = 21,707,990,169,157,996,544
  5. Step 5: Solve for x
    x = 21,707,990,169,157,996,544/2,139,664,887
  6. Step 6: Final answer
    x = 10,145,509,374.41

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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.