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Finding the Third Proportional to 17,631,772,518 and 38,362,774,812

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Solution

The third proportional to 17,631,772,518 and 38,362,774,812 is: 83,468,777,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631,772,518 : 38,362,774,812 = 38,362,774,812 : x
  2. Step 2: Convert to fraction form
    17,631,772,518/38,362,774,812 = 38,362,774,812/x
  3. Step 3: Cross multiply
    17,631,772,518x = 38,362,774,812 × 38,362,774,812
  4. Step 4: Simplify right side
    17,631,772,518x = 1,471,702,491,276,221,612,032
  5. Step 5: Solve for x
    x = 1,471,702,491,276,221,612,032/17,631,772,518
  6. Step 6: Final answer
    x = 83,468,777,162.01

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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.