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Finding the Third Proportional to 366,387,728 and 790,169,464

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Solution

The third proportional to 366,387,728 and 790,169,464 is: 1,704,117,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,387,728 : 790,169,464 = 790,169,464 : x
  2. Step 2: Convert to fraction form
    366,387,728/790,169,464 = 790,169,464/x
  3. Step 3: Cross multiply
    366,387,728x = 790,169,464 × 790,169,464
  4. Step 4: Simplify right side
    366,387,728x = 624,367,781,838,047,232
  5. Step 5: Solve for x
    x = 624,367,781,838,047,232/366,387,728
  6. Step 6: Final answer
    x = 1,704,117,616.73

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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.