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Finding the Third Proportional to 624,463,955,530 and 842,548,500,465

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Solution

The third proportional to 624,463,955,530 and 842,548,500,465 is: 1,136,795,757,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,955,530 : 842,548,500,465 = 842,548,500,465 : x
  2. Step 2: Convert to fraction form
    624,463,955,530/842,548,500,465 = 842,548,500,465/x
  3. Step 3: Cross multiply
    624,463,955,530x = 842,548,500,465 × 842,548,500,465
  4. Step 4: Simplify right side
    624,463,955,530x = 709,887,975,635,820,170,182,656
  5. Step 5: Solve for x
    x = 709,887,975,635,820,170,182,656/624,463,955,530
  6. Step 6: Final answer
    x = 1,136,795,757,944.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.