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Finding the Third Proportional to 3,143,011,725 and 6,844,036,503

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Solution

The third proportional to 3,143,011,725 and 6,844,036,503 is: 14,903,169,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,011,725 : 6,844,036,503 = 6,844,036,503 : x
  2. Step 2: Convert to fraction form
    3,143,011,725/6,844,036,503 = 6,844,036,503/x
  3. Step 3: Cross multiply
    3,143,011,725x = 6,844,036,503 × 6,844,036,503
  4. Step 4: Simplify right side
    3,143,011,725x = 46,840,835,654,396,469,248
  5. Step 5: Solve for x
    x = 46,840,835,654,396,469,248/3,143,011,725
  6. Step 6: Final answer
    x = 14,903,169,237.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.