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Finding the Third Proportional to 38,380,192 and 54,884,128

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Solution

The third proportional to 38,380,192 and 54,884,128 is: 78,484,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380,192 : 54,884,128 = 54,884,128 : x
  2. Step 2: Convert to fraction form
    38,380,192/54,884,128 = 54,884,128/x
  3. Step 3: Cross multiply
    38,380,192x = 54,884,128 × 54,884,128
  4. Step 4: Simplify right side
    38,380,192x = 3,012,267,506,320,384
  5. Step 5: Solve for x
    x = 3,012,267,506,320,384/38,380,192
  6. Step 6: Final answer
    x = 78,484,951.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.