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Finding the Third Proportional to 6,631,827,858 and 14,296,724,532

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Solution

The third proportional to 6,631,827,858 and 14,296,724,532 is: 30,820,512,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631,827,858 : 14,296,724,532 = 14,296,724,532 : x
  2. Step 2: Convert to fraction form
    6,631,827,858/14,296,724,532 = 14,296,724,532/x
  3. Step 3: Cross multiply
    6,631,827,858x = 14,296,724,532 × 14,296,724,532
  4. Step 4: Simplify right side
    6,631,827,858x = 204,396,332,343,890,608,128
  5. Step 5: Solve for x
    x = 204,396,332,343,890,608,128/6,631,827,858
  6. Step 6: Final answer
    x = 30,820,512,341.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.