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Finding the Third Proportional to 314,596,320 and 481,474,512

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Solution

The third proportional to 314,596,320 and 481,474,512 is: 736,873,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,596,320 : 481,474,512 = 481,474,512 : x
  2. Step 2: Convert to fraction form
    314,596,320/481,474,512 = 481,474,512/x
  3. Step 3: Cross multiply
    314,596,320x = 481,474,512 × 481,474,512
  4. Step 4: Simplify right side
    314,596,320x = 231,817,705,705,638,144
  5. Step 5: Solve for x
    x = 231,817,705,705,638,144/314,596,320
  6. Step 6: Final answer
    x = 736,873,545.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.