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Finding the Third Proportional to 3,143,011,727.25 and 6,844,036,511.25

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Solution

The third proportional to 3,143,011,727.25 and 6,844,036,511.25 is: 14,903,169,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,011,727.25 : 6,844,036,511.25 = 6,844,036,511.25 : x
  2. Step 2: Convert to fraction form
    3,143,011,727.25/6,844,036,511.25 = 6,844,036,511.25/x
  3. Step 3: Cross multiply
    3,143,011,727.25x = 6,844,036,511.25 × 6,844,036,511.25
  4. Step 4: Simplify right side
    3,143,011,727.25x = 46,840,835,767,323,074,560
  5. Step 5: Solve for x
    x = 46,840,835,767,323,074,560/3,143,011,727.25
  6. Step 6: Final answer
    x = 14,903,169,263.17

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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.