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Finding the Third Proportional to 718,832,215.50 and 1,027,229,933.25

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Solution

The third proportional to 718,832,215.50 and 1,027,229,933.25 is: 1,467,938,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,832,215.50 : 1,027,229,933.25 = 1,027,229,933.25 : x
  2. Step 2: Convert to fraction form
    718,832,215.50/1,027,229,933.25 = 1,027,229,933.25/x
  3. Step 3: Cross multiply
    718,832,215.50x = 1,027,229,933.25 × 1,027,229,933.25
  4. Step 4: Simplify right side
    718,832,215.50x = 1,055,201,335,764,799,488
  5. Step 5: Solve for x
    x = 1,055,201,335,764,799,488/718,832,215.50
  6. Step 6: Final answer
    x = 1,467,938,293.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.