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Finding the Third Proportional to 8,651,344,477.50 and 17,761,322,538

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Solution

The third proportional to 8,651,344,477.50 and 17,761,322,538 is: 36,464,225,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651,344,477.50 : 17,761,322,538 = 17,761,322,538 : x
  2. Step 2: Convert to fraction form
    8,651,344,477.50/17,761,322,538 = 17,761,322,538/x
  3. Step 3: Cross multiply
    8,651,344,477.50x = 17,761,322,538 × 17,761,322,538
  4. Step 4: Simplify right side
    8,651,344,477.50x = 315,464,578,298,866,761,728
  5. Step 5: Solve for x
    x = 315,464,578,298,866,761,728/8,651,344,477.50
  6. Step 6: Final answer
    x = 36,464,225,776.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.