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Finding the Third Proportional to 291,557,003,499 and 454,381,507,966.50

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Solution

The third proportional to 291,557,003,499 and 454,381,507,966.50 is: 708,137,867,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,557,003,499 : 454,381,507,966.50 = 454,381,507,966.50 : x
  2. Step 2: Convert to fraction form
    291,557,003,499/454,381,507,966.50 = 454,381,507,966.50/x
  3. Step 3: Cross multiply
    291,557,003,499x = 454,381,507,966.50 × 454,381,507,966.50
  4. Step 4: Simplify right side
    291,557,003,499x = 206,462,554,781,910,493,560,832
  5. Step 5: Solve for x
    x = 206,462,554,781,910,493,560,832/291,557,003,499
  6. Step 6: Final answer
    x = 708,137,867,738.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.