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Finding the Third Proportional to 624,463,955,494 and 842,548,500,412

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Solution

The third proportional to 624,463,955,494 and 842,548,500,412 is: 1,136,795,757,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,955,494 : 842,548,500,412 = 842,548,500,412 : x
  2. Step 2: Convert to fraction form
    624,463,955,494/842,548,500,412 = 842,548,500,412/x
  3. Step 3: Cross multiply
    624,463,955,494x = 842,548,500,412 × 842,548,500,412
  4. Step 4: Simplify right side
    624,463,955,494x = 709,887,975,546,509,949,140,992
  5. Step 5: Solve for x
    x = 709,887,975,546,509,949,140,992/624,463,955,494
  6. Step 6: Final answer
    x = 1,136,795,757,867.13

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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.