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Finding the Third Proportional to 761,628,927.63 and 1,658,469,435.68

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Solution

The third proportional to 761,628,927.63 and 1,658,469,435.68 is: 3,611,366,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,628,927.63 : 1,658,469,435.68 = 1,658,469,435.68 : x
  2. Step 2: Convert to fraction form
    761,628,927.63/1,658,469,435.68 = 1,658,469,435.68/x
  3. Step 3: Cross multiply
    761,628,927.63x = 1,658,469,435.68 × 1,658,469,435.68
  4. Step 4: Simplify right side
    761,628,927.63x = 2,750,520,869,083,410,944
  5. Step 5: Solve for x
    x = 2,750,520,869,083,410,944/761,628,927.63
  6. Step 6: Final answer
    x = 3,611,366,072.49

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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.