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Finding the Third Proportional to 1,899,374,536 and 4,185,171,192

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Solution

The third proportional to 1,899,374,536 and 4,185,171,192 is: 9,221,803,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,374,536 : 4,185,171,192 = 4,185,171,192 : x
  2. Step 2: Convert to fraction form
    1,899,374,536/4,185,171,192 = 4,185,171,192/x
  3. Step 3: Cross multiply
    1,899,374,536x = 4,185,171,192 × 4,185,171,192
  4. Step 4: Simplify right side
    1,899,374,536x = 17,515,657,906,346,700,800
  5. Step 5: Solve for x
    x = 17,515,657,906,346,700,800/1,899,374,536
  6. Step 6: Final answer
    x = 9,221,803,059.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.