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Finding the Third Proportional to 322,207,421,184 and 505,448,359,848

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Solution

The third proportional to 322,207,421,184 and 505,448,359,848 is: 792,899,317,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,207,421,184 : 505,448,359,848 = 505,448,359,848 : x
  2. Step 2: Convert to fraction form
    322,207,421,184/505,448,359,848 = 505,448,359,848/x
  3. Step 3: Cross multiply
    322,207,421,184x = 505,448,359,848 × 505,448,359,848
  4. Step 4: Simplify right side
    322,207,421,184x = 255,478,044,473,033,299,591,168
  5. Step 5: Solve for x
    x = 255,478,044,473,033,299,591,168/322,207,421,184
  6. Step 6: Final answer
    x = 792,899,317,881.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.