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Finding the Third Proportional to 331,310,664 and 720,798,436

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Solution

The third proportional to 331,310,664 and 720,798,436 is: 1,568,166,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,310,664 : 720,798,436 = 720,798,436 : x
  2. Step 2: Convert to fraction form
    331,310,664/720,798,436 = 720,798,436/x
  3. Step 3: Cross multiply
    331,310,664x = 720,798,436 × 720,798,436
  4. Step 4: Simplify right side
    331,310,664x = 519,550,385,340,046,080
  5. Step 5: Solve for x
    x = 519,550,385,340,046,080/331,310,664
  6. Step 6: Final answer
    x = 1,568,166,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.