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Finding the Third Proportional to 722,015,178 and 1,116,143,361

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Solution

The third proportional to 722,015,178 and 1,116,143,361 is: 1,725,415,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,015,178 : 1,116,143,361 = 1,116,143,361 : x
  2. Step 2: Convert to fraction form
    722,015,178/1,116,143,361 = 1,116,143,361/x
  3. Step 3: Cross multiply
    722,015,178x = 1,116,143,361 × 1,116,143,361
  4. Step 4: Simplify right side
    722,015,178x = 1,245,776,002,304,376,320
  5. Step 5: Solve for x
    x = 1,245,776,002,304,376,320/722,015,178
  6. Step 6: Final answer
    x = 1,725,415,254.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.