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Finding the Third Proportional to 466,178,019.19 and 699,095,847.94

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Solution

The third proportional to 466,178,019.19 and 699,095,847.94 is: 1,048,387,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,178,019.19 : 699,095,847.94 = 699,095,847.94 : x
  2. Step 2: Convert to fraction form
    466,178,019.19/699,095,847.94 = 699,095,847.94/x
  3. Step 3: Cross multiply
    466,178,019.19x = 699,095,847.94 × 699,095,847.94
  4. Step 4: Simplify right side
    466,178,019.19x = 488,735,004,603,452,096
  5. Step 5: Solve for x
    x = 488,735,004,603,452,096/466,178,019.19
  6. Step 6: Final answer
    x = 1,048,387,063.50

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Why These Related Problems?

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