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Finding the Third Proportional to 308,077,593 and 685,036,937

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Solution

The third proportional to 308,077,593 and 685,036,937 is: 1,523,238,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,077,593 : 685,036,937 = 685,036,937 : x
  2. Step 2: Convert to fraction form
    308,077,593/685,036,937 = 685,036,937/x
  3. Step 3: Cross multiply
    308,077,593x = 685,036,937 × 685,036,937
  4. Step 4: Simplify right side
    308,077,593x = 469,275,605,054,341,952
  5. Step 5: Solve for x
    x = 469,275,605,054,341,952/308,077,593
  6. Step 6: Final answer
    x = 1,523,238,352.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.