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Finding the Third Proportional to 366,292,991.25 and 785,759,388.75

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Solution

The third proportional to 366,292,991.25 and 785,759,388.75 is: 1,685,584,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,292,991.25 : 785,759,388.75 = 785,759,388.75 : x
  2. Step 2: Convert to fraction form
    366,292,991.25/785,759,388.75 = 785,759,388.75/x
  3. Step 3: Cross multiply
    366,292,991.25x = 785,759,388.75 × 785,759,388.75
  4. Step 4: Simplify right side
    366,292,991.25x = 617,417,817,008,773,632
  5. Step 5: Solve for x
    x = 617,417,817,008,773,632/366,292,991.25
  6. Step 6: Final answer
    x = 1,685,584,577.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.