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Finding the Third Proportional to 624,463,955,489.50 and 842,548,500,406.50

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Solution

The third proportional to 624,463,955,489.50 and 842,548,500,406.50 is: 1,136,795,757,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,955,489.50 : 842,548,500,406.50 = 842,548,500,406.50 : x
  2. Step 2: Convert to fraction form
    624,463,955,489.50/842,548,500,406.50 = 842,548,500,406.50/x
  3. Step 3: Cross multiply
    624,463,955,489.50x = 842,548,500,406.50 × 842,548,500,406.50
  4. Step 4: Simplify right side
    624,463,955,489.50x = 709,887,975,537,241,946,587,136
  5. Step 5: Solve for x
    x = 709,887,975,537,241,946,587,136/624,463,955,489.50
  6. Step 6: Final answer
    x = 1,136,795,757,860.48

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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.