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Finding the Third Proportional to 718,832,223 and 1,027,229,943.75

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Solution

The third proportional to 718,832,223 and 1,027,229,943.75 is: 1,467,938,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,832,223 : 1,027,229,943.75 = 1,027,229,943.75 : x
  2. Step 2: Convert to fraction form
    718,832,223/1,027,229,943.75 = 1,027,229,943.75/x
  3. Step 3: Cross multiply
    718,832,223x = 1,027,229,943.75 × 1,027,229,943.75
  4. Step 4: Simplify right side
    718,832,223x = 1,055,201,357,336,628,224
  5. Step 5: Solve for x
    x = 1,055,201,357,336,628,224/718,832,223
  6. Step 6: Final answer
    x = 1,467,938,308.24

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Why These Related Problems?

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