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Finding the Third Proportional to 366,387,725 and 790,169,458

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Solution

The third proportional to 366,387,725 and 790,169,458 is: 1,704,117,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,387,725 : 790,169,458 = 790,169,458 : x
  2. Step 2: Convert to fraction form
    366,387,725/790,169,458 = 790,169,458/x
  3. Step 3: Cross multiply
    366,387,725x = 790,169,458 × 790,169,458
  4. Step 4: Simplify right side
    366,387,725x = 624,367,772,356,013,824
  5. Step 5: Solve for x
    x = 624,367,772,356,013,824/366,387,725
  6. Step 6: Final answer
    x = 1,704,117,604.80

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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.