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Finding the Third Proportional to 66,513,308,827.50 and 137,741,298,039

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Solution

The third proportional to 66,513,308,827.50 and 137,741,298,039 is: 285,246,148,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513,308,827.50 : 137,741,298,039 = 137,741,298,039 : x
  2. Step 2: Convert to fraction form
    66,513,308,827.50/137,741,298,039 = 137,741,298,039/x
  3. Step 3: Cross multiply
    66,513,308,827.50x = 137,741,298,039 × 137,741,298,039
  4. Step 4: Simplify right side
    66,513,308,827.50x = 18,972,665,185,468,623,618,048
  5. Step 5: Solve for x
    x = 18,972,665,185,468,623,618,048/66,513,308,827.50
  6. Step 6: Final answer
    x = 285,246,148,777.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.