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Finding the Third Proportional to 620,288,941.50 and 960,343,796.25

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Solution

The third proportional to 620,288,941.50 and 960,343,796.25 is: 1,486,823,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,288,941.50 : 960,343,796.25 = 960,343,796.25 : x
  2. Step 2: Convert to fraction form
    620,288,941.50/960,343,796.25 = 960,343,796.25/x
  3. Step 3: Cross multiply
    620,288,941.50x = 960,343,796.25 × 960,343,796.25
  4. Step 4: Simplify right side
    620,288,941.50x = 922,260,206,995,861,504
  5. Step 5: Solve for x
    x = 922,260,206,995,861,504/620,288,941.50
  6. Step 6: Final answer
    x = 1,486,823,551.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.