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Finding the Third Proportional to 333,503,643.94 and 724,418,738.72

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Solution

The third proportional to 333,503,643.94 and 724,418,738.72 is: 1,573,543,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,503,643.94 : 724,418,738.72 = 724,418,738.72 : x
  2. Step 2: Convert to fraction form
    333,503,643.94/724,418,738.72 = 724,418,738.72/x
  3. Step 3: Cross multiply
    333,503,643.94x = 724,418,738.72 × 724,418,738.72
  4. Step 4: Simplify right side
    333,503,643.94x = 524,782,509,006,864,576
  5. Step 5: Solve for x
    x = 524,782,509,006,864,576/333,503,643.94
  6. Step 6: Final answer
    x = 1,573,543,553.56

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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.