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Finding the Third Proportional to 473,580,600 and 998,986,632

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Solution

The third proportional to 473,580,600 and 998,986,632 is: 2,107,295,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,580,600 : 998,986,632 = 998,986,632 : x
  2. Step 2: Convert to fraction form
    473,580,600/998,986,632 = 998,986,632/x
  3. Step 3: Cross multiply
    473,580,600x = 998,986,632 × 998,986,632
  4. Step 4: Simplify right side
    473,580,600x = 997,974,290,914,703,360
  5. Step 5: Solve for x
    x = 997,974,290,914,703,360/473,580,600
  6. Step 6: Final answer
    x = 2,107,295,549.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.