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Finding the Third Proportional to 569,101,191.75 and 1,317,387,215.25

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Solution

The third proportional to 569,101,191.75 and 1,317,387,215.25 is: 3,049,561,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,101,191.75 : 1,317,387,215.25 = 1,317,387,215.25 : x
  2. Step 2: Convert to fraction form
    569,101,191.75/1,317,387,215.25 = 1,317,387,215.25/x
  3. Step 3: Cross multiply
    569,101,191.75x = 1,317,387,215.25 × 1,317,387,215.25
  4. Step 4: Simplify right side
    569,101,191.75x = 1,735,509,074,904,149,760
  5. Step 5: Solve for x
    x = 1,735,509,074,904,149,760/569,101,191.75
  6. Step 6: Final answer
    x = 3,049,561,484.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.