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Finding the Third Proportional to 8,574,185,504 and 18,573,135,295

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Solution

The third proportional to 8,574,185,504 and 18,573,135,295 is: 40,232,550,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574,185,504 : 18,573,135,295 = 18,573,135,295 : x
  2. Step 2: Convert to fraction form
    8,574,185,504/18,573,135,295 = 18,573,135,295/x
  3. Step 3: Cross multiply
    8,574,185,504x = 18,573,135,295 × 18,573,135,295
  4. Step 4: Simplify right side
    8,574,185,504x = 344,961,354,686,374,739,968
  5. Step 5: Solve for x
    x = 344,961,354,686,374,739,968/8,574,185,504
  6. Step 6: Final answer
    x = 40,232,550,896.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.