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Finding the Third Proportional to 253,570,817 and 382,351,710

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Solution

The third proportional to 253,570,817 and 382,351,710 is: 576,536,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570,817 : 382,351,710 = 382,351,710 : x
  2. Step 2: Convert to fraction form
    253,570,817/382,351,710 = 382,351,710/x
  3. Step 3: Cross multiply
    253,570,817x = 382,351,710 × 382,351,710
  4. Step 4: Simplify right side
    253,570,817x = 146,192,830,139,924,096
  5. Step 5: Solve for x
    x = 146,192,830,139,924,096/253,570,817
  6. Step 6: Final answer
    x = 576,536,495.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.