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Finding the Third Proportional to 6,622,312,816 and 14,420,356,832

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Solution

The third proportional to 6,622,312,816 and 14,420,356,832 is: 31,400,916,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622,312,816 : 14,420,356,832 = 14,420,356,832 : x
  2. Step 2: Convert to fraction form
    6,622,312,816/14,420,356,832 = 14,420,356,832/x
  3. Step 3: Cross multiply
    6,622,312,816x = 14,420,356,832 × 14,420,356,832
  4. Step 4: Simplify right side
    6,622,312,816x = 207,946,691,162,209,091,584
  5. Step 5: Solve for x
    x = 207,946,691,162,209,091,584/6,622,312,816
  6. Step 6: Final answer
    x = 31,400,916,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.