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Finding the Third Proportional to 718,805,271 and 1,027,189,366.50

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Solution

The third proportional to 718,805,271 and 1,027,189,366.50 is: 1,467,877,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,805,271 : 1,027,189,366.50 = 1,027,189,366.50 : x
  2. Step 2: Convert to fraction form
    718,805,271/1,027,189,366.50 = 1,027,189,366.50/x
  3. Step 3: Cross multiply
    718,805,271x = 1,027,189,366.50 × 1,027,189,366.50
  4. Step 4: Simplify right side
    718,805,271x = 1,055,117,994,650,671,360
  5. Step 5: Solve for x
    x = 1,055,117,994,650,671,360/718,805,271
  6. Step 6: Final answer
    x = 1,467,877,375.44

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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.