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Finding the Third Proportional to 70,671,828 and 152,690,763

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Solution

The third proportional to 70,671,828 and 152,690,763 is: 329,897,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,671,828 : 152,690,763 = 152,690,763 : x
  2. Step 2: Convert to fraction form
    70,671,828/152,690,763 = 152,690,763/x
  3. Step 3: Cross multiply
    70,671,828x = 152,690,763 × 152,690,763
  4. Step 4: Simplify right side
    70,671,828x = 23,314,469,105,522,168
  5. Step 5: Solve for x
    x = 23,314,469,105,522,168/70,671,828
  6. Step 6: Final answer
    x = 329,897,637.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.