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Finding the Third Proportional to 2,591,022,922 and 5,594,913,386

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Solution

The third proportional to 2,591,022,922 and 5,594,913,386 is: 12,081,350,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,022,922 : 5,594,913,386 = 5,594,913,386 : x
  2. Step 2: Convert to fraction form
    2,591,022,922/5,594,913,386 = 5,594,913,386/x
  3. Step 3: Cross multiply
    2,591,022,922x = 5,594,913,386 × 5,594,913,386
  4. Step 4: Simplify right side
    2,591,022,922x = 31,303,055,796,841,984,000
  5. Step 5: Solve for x
    x = 31,303,055,796,841,984,000/2,591,022,922
  6. Step 6: Final answer
    x = 12,081,350,392.95

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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.