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Finding the Third Proportional to 463,913,192,277.06 and 998,726,761,457.33

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Solution

The third proportional to 463,913,192,277.06 and 998,726,761,457.33 is: 2,150,090,061,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,913,192,277.06 : 998,726,761,457.33 = 998,726,761,457.33 : x
  2. Step 2: Convert to fraction form
    463,913,192,277.06/998,726,761,457.33 = 998,726,761,457.33/x
  3. Step 3: Cross multiply
    463,913,192,277.06x = 998,726,761,457.33 × 998,726,761,457.33
  4. Step 4: Simplify right side
    463,913,192,277.06x = 997,455,144,051,046,499,745,792
  5. Step 5: Solve for x
    x = 997,455,144,051,046,499,745,792/463,913,192,277.06
  6. Step 6: Final answer
    x = 2,150,090,061,365.06

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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.