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Finding the Third Proportional to 123,424,266 and 265,423,452

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Solution

The third proportional to 123,424,266 and 265,423,452 is: 570,792,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,424,266 : 265,423,452 = 265,423,452 : x
  2. Step 2: Convert to fraction form
    123,424,266/265,423,452 = 265,423,452/x
  3. Step 3: Cross multiply
    123,424,266x = 265,423,452 × 265,423,452
  4. Step 4: Simplify right side
    123,424,266x = 70,449,608,871,596,304
  5. Step 5: Solve for x
    x = 70,449,608,871,596,304/123,424,266
  6. Step 6: Final answer
    x = 570,792,204.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.