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Finding the Third Proportional to 3,206,873,966 and 6,706,960,480

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Solution

The third proportional to 3,206,873,966 and 6,706,960,480 is: 14,027,155,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,873,966 : 6,706,960,480 = 6,706,960,480 : x
  2. Step 2: Convert to fraction form
    3,206,873,966/6,706,960,480 = 6,706,960,480/x
  3. Step 3: Cross multiply
    3,206,873,966x = 6,706,960,480 × 6,706,960,480
  4. Step 4: Simplify right side
    3,206,873,966x = 44,983,318,880,281,829,376
  5. Step 5: Solve for x
    x = 44,983,318,880,281,829,376/3,206,873,966
  6. Step 6: Final answer
    x = 14,027,155,216.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.