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Finding the Third Proportional to 441,722,058.75 and 684,905,250.38

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Solution

The third proportional to 441,722,058.75 and 684,905,250.38 is: 1,061,969,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,722,058.75 : 684,905,250.38 = 684,905,250.38 : x
  2. Step 2: Convert to fraction form
    441,722,058.75/684,905,250.38 = 684,905,250.38/x
  3. Step 3: Cross multiply
    441,722,058.75x = 684,905,250.38 × 684,905,250.38
  4. Step 4: Simplify right side
    441,722,058.75x = 469,095,201,991,241,408
  5. Step 5: Solve for x
    x = 469,095,201,991,241,408/441,722,058.75
  6. Step 6: Final answer
    x = 1,061,969,156.17

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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.