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Finding the Third Proportional to 259,645,496 and 403,325,054

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Solution

The third proportional to 259,645,496 and 403,325,054 is: 626,512,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,645,496 : 403,325,054 = 403,325,054 : x
  2. Step 2: Convert to fraction form
    259,645,496/403,325,054 = 403,325,054/x
  3. Step 3: Cross multiply
    259,645,496x = 403,325,054 × 403,325,054
  4. Step 4: Simplify right side
    259,645,496x = 162,671,099,184,102,912
  5. Step 5: Solve for x
    x = 162,671,099,184,102,912/259,645,496
  6. Step 6: Final answer
    x = 626,512,308.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.