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Finding the Third Proportional to 425,805,418,842.75 and 916,192,092,206.25

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Solution

The third proportional to 425,805,418,842.75 and 916,192,092,206.25 is: 1,971,341,633,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,805,418,842.75 : 916,192,092,206.25 = 916,192,092,206.25 : x
  2. Step 2: Convert to fraction form
    425,805,418,842.75/916,192,092,206.25 = 916,192,092,206.25/x
  3. Step 3: Cross multiply
    425,805,418,842.75x = 916,192,092,206.25 × 916,192,092,206.25
  4. Step 4: Simplify right side
    425,805,418,842.75x = 839,407,949,821,265,758,388,224
  5. Step 5: Solve for x
    x = 839,407,949,821,265,758,388,224/425,805,418,842.75
  6. Step 6: Final answer
    x = 1,971,341,633,233.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.