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Finding the Third Proportional to 665,503,008 and 1,436,231,335

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Solution

The third proportional to 665,503,008 and 1,436,231,335 is: 3,099,550,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,503,008 : 1,436,231,335 = 1,436,231,335 : x
  2. Step 2: Convert to fraction form
    665,503,008/1,436,231,335 = 1,436,231,335/x
  3. Step 3: Cross multiply
    665,503,008x = 1,436,231,335 × 1,436,231,335
  4. Step 4: Simplify right side
    665,503,008x = 2,062,760,447,635,882,240
  5. Step 5: Solve for x
    x = 2,062,760,447,635,882,240/665,503,008
  6. Step 6: Final answer
    x = 3,099,550,900.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.