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Finding the Third Proportional to 466,178,039 and 699,095,881

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Solution

The third proportional to 466,178,039 and 699,095,881 is: 1,048,387,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,178,039 : 699,095,881 = 699,095,881 : x
  2. Step 2: Convert to fraction form
    466,178,039/699,095,881 = 699,095,881/x
  3. Step 3: Cross multiply
    466,178,039x = 699,095,881 × 699,095,881
  4. Step 4: Simplify right side
    466,178,039x = 488,735,050,831,166,144
  5. Step 5: Solve for x
    x = 488,735,050,831,166,144/466,178,039
  6. Step 6: Final answer
    x = 1,048,387,118.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.