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Finding the Third Proportional to 406,505,513,092.50 and 614,995,043,946.75

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Solution

The third proportional to 406,505,513,092.50 and 614,995,043,946.75 is: 930,415,189,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,505,513,092.50 : 614,995,043,946.75 = 614,995,043,946.75 : x
  2. Step 2: Convert to fraction form
    406,505,513,092.50/614,995,043,946.75 = 614,995,043,946.75/x
  3. Step 3: Cross multiply
    406,505,513,092.50x = 614,995,043,946.75 × 614,995,043,946.75
  4. Step 4: Simplify right side
    406,505,513,092.50x = 378,218,904,079,064,973,180,928
  5. Step 5: Solve for x
    x = 378,218,904,079,064,973,180,928/406,505,513,092.50
  6. Step 6: Final answer
    x = 930,415,189,702.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.