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Finding the Third Proportional to 123,424,221 and 265,423,362

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Solution

The third proportional to 123,424,221 and 265,423,362 is: 570,792,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,424,221 : 265,423,362 = 265,423,362 : x
  2. Step 2: Convert to fraction form
    123,424,221/265,423,362 = 265,423,362/x
  3. Step 3: Cross multiply
    123,424,221x = 265,423,362 × 265,423,362
  4. Step 4: Simplify right side
    123,424,221x = 70,449,561,095,383,040
  5. Step 5: Solve for x
    x = 70,449,561,095,383,040/123,424,221
  6. Step 6: Final answer
    x = 570,792,025.46

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