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Finding the Third Proportional to 65,335,274 and 142,192,496

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Solution

The third proportional to 65,335,274 and 142,192,496 is: 309,460,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335,274 : 142,192,496 = 142,192,496 : x
  2. Step 2: Convert to fraction form
    65,335,274/142,192,496 = 142,192,496/x
  3. Step 3: Cross multiply
    65,335,274x = 142,192,496 × 142,192,496
  4. Step 4: Simplify right side
    65,335,274x = 20,218,705,918,710,016
  5. Step 5: Solve for x
    x = 20,218,705,918,710,016/65,335,274
  6. Step 6: Final answer
    x = 309,460,796.30

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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.