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Finding the Third Proportional to 3,185,543,749 and 4,822,579,410

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Solution

The third proportional to 3,185,543,749 and 4,822,579,410 is: 7,300,879,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,543,749 : 4,822,579,410 = 4,822,579,410 : x
  2. Step 2: Convert to fraction form
    3,185,543,749/4,822,579,410 = 4,822,579,410/x
  3. Step 3: Cross multiply
    3,185,543,749x = 4,822,579,410 × 4,822,579,410
  4. Step 4: Simplify right side
    3,185,543,749x = 23,257,272,165,755,949,056
  5. Step 5: Solve for x
    x = 23,257,272,165,755,949,056/3,185,543,749
  6. Step 6: Final answer
    x = 7,300,879,849.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.