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Finding the Third Proportional to 690,480,132 and 1,478,902,872

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Solution

The third proportional to 690,480,132 and 1,478,902,872 is: 3,167,583,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480,132 : 1,478,902,872 = 1,478,902,872 : x
  2. Step 2: Convert to fraction form
    690,480,132/1,478,902,872 = 1,478,902,872/x
  3. Step 3: Cross multiply
    690,480,132x = 1,478,902,872 × 1,478,902,872
  4. Step 4: Simplify right side
    690,480,132x = 2,187,153,704,809,848,320
  5. Step 5: Solve for x
    x = 2,187,153,704,809,848,320/690,480,132
  6. Step 6: Final answer
    x = 3,167,583,835.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.