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Finding the Third Proportional to 379,409,416.88 and 846,057,281.63

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Solution

The third proportional to 379,409,416.88 and 846,057,281.63 is: 1,886,650,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,409,416.88 : 846,057,281.63 = 846,057,281.63 : x
  2. Step 2: Convert to fraction form
    379,409,416.88/846,057,281.63 = 846,057,281.63/x
  3. Step 3: Cross multiply
    379,409,416.88x = 846,057,281.63 × 846,057,281.63
  4. Step 4: Simplify right side
    379,409,416.88x = 715,812,923,790,684,544
  5. Step 5: Solve for x
    x = 715,812,923,790,684,544/379,409,416.88
  6. Step 6: Final answer
    x = 1,886,650,388.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.