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Finding the Third Proportional to 407,381,052 and 833,587,812

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Solution

The third proportional to 407,381,052 and 833,587,812 is: 1,705,697,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,381,052 : 833,587,812 = 833,587,812 : x
  2. Step 2: Convert to fraction form
    407,381,052/833,587,812 = 833,587,812/x
  3. Step 3: Cross multiply
    407,381,052x = 833,587,812 × 833,587,812
  4. Step 4: Simplify right side
    407,381,052x = 694,868,640,314,947,328
  5. Step 5: Solve for x
    x = 694,868,640,314,947,328/407,381,052
  6. Step 6: Final answer
    x = 1,705,697,005.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.