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Finding the Third Proportional to 273,216,840 and 419,694,483

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Solution

The third proportional to 273,216,840 and 419,694,483 is: 644,702,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,840 : 419,694,483 = 419,694,483 : x
  2. Step 2: Convert to fraction form
    273,216,840/419,694,483 = 419,694,483/x
  3. Step 3: Cross multiply
    273,216,840x = 419,694,483 × 419,694,483
  4. Step 4: Simplify right side
    273,216,840x = 176,143,459,060,637,280
  5. Step 5: Solve for x
    x = 176,143,459,060,637,280/273,216,840
  6. Step 6: Final answer
    x = 644,702,058.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.