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Finding the Third Proportional to 435,835,552,104 and 613,485,051,012

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Solution

The third proportional to 435,835,552,104 and 613,485,051,012 is: 863,545,679,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,835,552,104 : 613,485,051,012 = 613,485,051,012 : x
  2. Step 2: Convert to fraction form
    435,835,552,104/613,485,051,012 = 613,485,051,012/x
  3. Step 3: Cross multiply
    435,835,552,104x = 613,485,051,012 × 613,485,051,012
  4. Step 4: Simplify right side
    435,835,552,104x = 376,363,907,815,196,250,341,376
  5. Step 5: Solve for x
    x = 376,363,907,815,196,250,341,376/435,835,552,104
  6. Step 6: Final answer
    x = 863,545,679,094.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.