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Finding the Third Proportional to 359,339,197,832 and 558,186,080,607

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Solution

The third proportional to 359,339,197,832 and 558,186,080,607 is: 867,068,503,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,339,197,832 : 558,186,080,607 = 558,186,080,607 : x
  2. Step 2: Convert to fraction form
    359,339,197,832/558,186,080,607 = 558,186,080,607/x
  3. Step 3: Cross multiply
    359,339,197,832x = 558,186,080,607 × 558,186,080,607
  4. Step 4: Simplify right side
    359,339,197,832x = 311,571,700,583,404,278,906,880
  5. Step 5: Solve for x
    x = 311,571,700,583,404,278,906,880/359,339,197,832
  6. Step 6: Final answer
    x = 867,068,503,695.70

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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.