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Finding the Third Proportional to 237,418,976,232 and 512,029,269,648

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Solution

The third proportional to 237,418,976,232 and 512,029,269,648 is: 1,104,267,136,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,418,976,232 : 512,029,269,648 = 512,029,269,648 : x
  2. Step 2: Convert to fraction form
    237,418,976,232/512,029,269,648 = 512,029,269,648/x
  3. Step 3: Cross multiply
    237,418,976,232x = 512,029,269,648 × 512,029,269,648
  4. Step 4: Simplify right side
    237,418,976,232x = 262,173,972,976,264,286,306,304
  5. Step 5: Solve for x
    x = 262,173,972,976,264,286,306,304/237,418,976,232
  6. Step 6: Final answer
    x = 1,104,267,136,254.83

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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.