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Finding the Third Proportional to 3,580,943,274 and 7,706,082,294

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Solution

The third proportional to 3,580,943,274 and 7,706,082,294 is: 16,583,257,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580,943,274 : 7,706,082,294 = 7,706,082,294 : x
  2. Step 2: Convert to fraction form
    3,580,943,274/7,706,082,294 = 7,706,082,294/x
  3. Step 3: Cross multiply
    3,580,943,274x = 7,706,082,294 × 7,706,082,294
  4. Step 4: Simplify right side
    3,580,943,274x = 59,383,704,321,900,306,432
  5. Step 5: Solve for x
    x = 59,383,704,321,900,306,432/3,580,943,274
  6. Step 6: Final answer
    x = 16,583,257,476.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.