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Finding the Third Proportional to 366,387,780 and 790,169,568

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Solution

The third proportional to 366,387,780 and 790,169,568 is: 1,704,117,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,387,780 : 790,169,568 = 790,169,568 : x
  2. Step 2: Convert to fraction form
    366,387,780/790,169,568 = 790,169,568/x
  3. Step 3: Cross multiply
    366,387,780x = 790,169,568 × 790,169,568
  4. Step 4: Simplify right side
    366,387,780x = 624,367,946,193,306,624
  5. Step 5: Solve for x
    x = 624,367,946,193,306,624/366,387,780
  6. Step 6: Final answer
    x = 1,704,117,823.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.