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Finding the Third Proportional to 666,149,843 and 1,443,503,715.50

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Solution

The third proportional to 666,149,843 and 1,443,503,715.50 is: 3,127,979,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,149,843 : 1,443,503,715.50 = 1,443,503,715.50 : x
  2. Step 2: Convert to fraction form
    666,149,843/1,443,503,715.50 = 1,443,503,715.50/x
  3. Step 3: Cross multiply
    666,149,843x = 1,443,503,715.50 × 1,443,503,715.50
  4. Step 4: Simplify right side
    666,149,843x = 2,083,702,976,662,305,024
  5. Step 5: Solve for x
    x = 2,083,702,976,662,305,024/666,149,843
  6. Step 6: Final answer
    x = 3,127,979,385.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.