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Finding the Third Proportional to 517,098,670.50 and 823,203,957.75

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Solution

The third proportional to 517,098,670.50 and 823,203,957.75 is: 1,310,513,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,098,670.50 : 823,203,957.75 = 823,203,957.75 : x
  2. Step 2: Convert to fraction form
    517,098,670.50/823,203,957.75 = 823,203,957.75/x
  3. Step 3: Cross multiply
    517,098,670.50x = 823,203,957.75 × 823,203,957.75
  4. Step 4: Simplify right side
    517,098,670.50x = 677,664,756,055,263,744
  5. Step 5: Solve for x
    x = 677,664,756,055,263,744/517,098,670.50
  6. Step 6: Final answer
    x = 1,310,513,437.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.