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Finding the Third Proportional to 718,804,188 and 1,027,187,941.50

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Solution

The third proportional to 718,804,188 and 1,027,187,941.50 is: 1,467,875,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,804,188 : 1,027,187,941.50 = 1,027,187,941.50 : x
  2. Step 2: Convert to fraction form
    718,804,188/1,027,187,941.50 = 1,027,187,941.50/x
  3. Step 3: Cross multiply
    718,804,188x = 1,027,187,941.50 × 1,027,187,941.50
  4. Step 4: Simplify right side
    718,804,188x = 1,055,115,067,163,007,360
  5. Step 5: Solve for x
    x = 1,055,115,067,163,007,360/718,804,188
  6. Step 6: Final answer
    x = 1,467,875,514.33

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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.