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Finding the Third Proportional to 66,312,878,682 and 144,244,474,800

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Solution

The third proportional to 66,312,878,682 and 144,244,474,800 is: 313,762,106,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,312,878,682 : 144,244,474,800 = 144,244,474,800 : x
  2. Step 2: Convert to fraction form
    66,312,878,682/144,244,474,800 = 144,244,474,800/x
  3. Step 3: Cross multiply
    66,312,878,682x = 144,244,474,800 × 144,244,474,800
  4. Step 4: Simplify right side
    66,312,878,682x = 20,806,468,510,327,834,148,864
  5. Step 5: Solve for x
    x = 20,806,468,510,327,834,148,864/66,312,878,682
  6. Step 6: Final answer
    x = 313,762,106,605.33

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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.