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Finding the Third Proportional to 478,600,903,962 and 1,036,623,185,310

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Solution

The third proportional to 478,600,903,962 and 1,036,623,185,310 is: 2,245,268,697,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,600,903,962 : 1,036,623,185,310 = 1,036,623,185,310 : x
  2. Step 2: Convert to fraction form
    478,600,903,962/1,036,623,185,310 = 1,036,623,185,310/x
  3. Step 3: Cross multiply
    478,600,903,962x = 1,036,623,185,310 × 1,036,623,185,310
  4. Step 4: Simplify right side
    478,600,903,962x = 1,074,587,628,322,250,649,763,840
  5. Step 5: Solve for x
    x = 1,074,587,628,322,250,649,763,840/478,600,903,962
  6. Step 6: Final answer
    x = 2,245,268,697,627.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.