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Finding the Third Proportional to 433,718,998.88 and 660,747,805.31

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Solution

The third proportional to 433,718,998.88 and 660,747,805.31 is: 1,006,614,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718,998.88 : 660,747,805.31 = 660,747,805.31 : x
  2. Step 2: Convert to fraction form
    433,718,998.88/660,747,805.31 = 660,747,805.31/x
  3. Step 3: Cross multiply
    433,718,998.88x = 660,747,805.31 × 660,747,805.31
  4. Step 4: Simplify right side
    433,718,998.88x = 436,587,662,225,285,376
  5. Step 5: Solve for x
    x = 436,587,662,225,285,376/433,718,998.88
  6. Step 6: Final answer
    x = 1,006,614,105.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.